ModuleCurveModel_smoothOfRelativeDimension_genusFF_of_representsRelSubPic.lean
Nyll.JacobianVarieties.Picard.CurveModel_smoothOfRelativeDimension_genusFF_of_representsRelSubPic
6 declarations indexed from sourceView source ↗ Module documentation
The genus determines the relative dimension of the representing Picard scheme.
Declarations
JacobianVarieties.Picard.Proofs.PicardGenusDimension.P2mJacDim.compare
DocumentationThe comparison morphism supplied by the two representing properties.
Source context 40 commands
Surrounding namespaces, section variables, and local commands at this declaration.
section ProofImplementation
namespace JacobianVarieties.Picard.Proofs.PicardGenusDimension
attribute [-instance]
AlgebraicGeometry.SmoothOfRelativeDimension.fiberToSpecResidueField
AlgebraicGeometry.SmoothOfRelativeDimension.pullback_snd
AlgebraicGeometry.SmoothOfRelativeDimension.pullback_fst
AlgebraicGeometry.SmoothOfRelativeDimension.smooth_one
AlgebraicGeometry.SmoothProperCurve.isIntegral_pullback_Spec_field
AlgebraicGeometry.IsProper.fiberToSpecResidueField
TwoChartCech.Sections.M0_moduleA
TwoChartCech.Sections.M1_module
TwoChartCech.Cover.A01_algebra
TwoChartCech.Cover.A0_algebra
TwoChartCech.Cover.A1_commRing
TwoChartCech.Cover.A1_algebra
TwoChartCech.Sections.M01_module
TwoChartCech.Sections.M0_addCommGroup
TwoChartCech.Sections.M0_tower
TwoChartCech.Sections.M01_addCommGroup
TwoChartCech.Cover.A0_commRing
TwoChartCech.Sections.M1_tower
TwoChartCech.Sections.M01_moduleA
TwoChartCech.Sections.M0_module
TwoChartCech.Sections.M1_moduleA
TwoChartCech.Sections.M1_addCommGroup
TwoChartCech.Cover.A01_commRing
TwoChartCech.Sections.M01_tower
CoherentBaseChange.TwoTermComplex.C0_module
CoherentBaseChange.TwoTermComplex.C0_addCommGroup
CoherentBaseChange.TwoTermComplex.C1_module
CoherentBaseChange.TwoTermComplex.C1_addCommGroup
CoherentBaseChange.TwoTermComplex.C0_free
CoherentBaseChange.TwoTermComplex.C1_finite
CoherentBaseChange.TwoTermComplex.C0_finite
CoherentBaseChange.TwoTermComplex.C1_free
attribute [-instance]
instIsLocallyInjectiveFunUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.instIsLocallySurjectiveUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.instIsOpenImmersionToGlued
attribute [-instance]
instIsIsoSheafZariskiTopologyTypeUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.RelPicard.isOpenImmersion_toGlued
AlgebraicCurve.Place.instIsRankOneDiscreteWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.Place.instIsTrivialOnWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.instFundamentalIdentityOfSumRamificationInertia
attribute [-instance]
AlgebraicCurve.Place.instIsScalarTowerResidueFieldRestrictPushforward
AlgebraicCurve.Place.instAlgebraResidueFieldRestrictPushforward
AlgebraicCurve.Place.instIsLocalHomRestrictInclusion
AlgebraicCurve.Place.instIsPrimeCenter
AlgebraicCurve.Place.instIsFractionRingIntegralClosureAt
attribute [-instance]
instIsTorsionFreeSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
attribute [-instance]
AlgebraicCurve.Place.instIsDedekindDomainIntegralClosureAt
AlgebraicCurve.Place.instFiniteSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
AlgebraicCurve.SemilinearAut.instDistribMulActionSubtypeProdRingAutMemSubgroupPic0
AlgebraicCurve.SemilinearAut.instDistribMulActionSubtypeProdRingAutMemSubgroupDivisor
AlgebraicCurve.Pic0.instModuleZModTorsion
AlgebraicCurve.SemilinearAut.instSMulSubtypeProdRingAutMemSubgroupPlace
AlgebraicCurve.SemilinearAut.instDistribMulActionTorsion
AlgebraicCurve.SemilinearAut.instSMulSubtypeProdRingAutMemSubgroupPic0
AlgebraicCurve.SemilinearAut.instSMulTorsion
AlgebraicCurve.SemilinearAut.instMulActionSubtypeProdRingAutMemSubgroupPlace
AlgebraicCurve.SemilinearAut.instSMulCommClassZModTorsion
AlgebraicCurve.SemilinearAut.instMulSemiringActionSubtypeProdRingAutMemSubgroup
AlgebraicCurve.RationalFunctionField.instNontrivialInftyValueGroup
PresheafOfModules.ExteriorPower.instModulePresheafAb
AlgebraicGeometry.RelEffCartierDiv.subsingleton_of_degree_zero
AlgebraicGeometry.RelEffCartierDiv.isIso_subschemeIota_snd_of_degree_one
AlgebraicGeometry.isIso_ker_graphOver_subschemeIota_snd
AlgebraicGeometry.isClosedImmersion_graphOver
AlgebraicGeometry.FGSubalgebra.instIsDirectedLe
attribute [-instance]
instQuasiSeparatedSpaceCarrierCarrierCommRingCatObjOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsCofilteredOpposite
AlgebraicGeometry.FGSubalgebra.instIsAffineObjOppositeSchemeSpecDiagram
AlgebraicGeometry.FGSubalgebra.instNonempty
AlgebraicGeometry.FGSubalgebra.instNonemptySubtypeLeSubalgebraValFG
attribute [-instance]
instCompactSpaceCarrierCarrierCommRingCatObjOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsDirectedSubtypeLeSubalgebraValFG
AlgebraicGeometry.FGSubalgebra.instIsAffineHomMapOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsFiltered
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instNeg
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSMulInt
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instAddCommGroup
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instAdd
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSub
attribute [-instance]
instModuleCarrierObjOppositeOpensCarrierCarrierCommRingCatPresheafOpOpensTop
attribute [-instance]
instSMulCarrierObjOppositeOpensCarrierCarrierCommRingCatPresheafOpOpensTop
attribute [-instance]
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSMulNat
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instZero
AlgebraicCurve.instHasLocalResidue_of_hasCanonicalLocalResidueK
AlgebraicCurve.instHasCanonicalLocalResidueK_of_hasCanonicalLocalResidueKStar
AlgebraicCurve.Place.kw_ffgc_finiteDimensional_adicCompletion
AlgebraicCurve.Place.kw_ffgc_isScalarTower_integersIntegersCompletion
ModularCurve.KwF4gRRTate.instAlgebraKAdicCompletionIntegers
AlgebraicCurve.Place.kw_ffgc_continuousSMul_adicCompletionComap
AlgebraicCurve.Place.kw_ffgc_isScalarTower_integersCompletionCompletion
attribute [-instance]
instLiesOverSubtypeAdicCompletionMemValuationSubringAdicCompletionIntegersCompletionIdealAsIdeal
attribute [-instance]
AlgebraicCurve.instHasCanonicalLocalResidueK
AlgebraicCurve.Place.instAlgebra_restrictResidueField
AlgebraicCurve.Place.instIsScalarTower_restrictResidueField
AlgebraicCurve.instHasLocalResidue
AlgebraicCurve.HasSeparableResidue.of_perfectField_of_isCurveOver
AlgebraicCurve.HasSeparableResidue.of_perfectField
AlgebraicCurve.Place.instIsLocalHom_restrictSubringHom
AlgebraicCurve.instHasCanonicalLocalResidueKStar
ModularCurve.KwNo6Pin.isLocalRing_completion
SheafOfModules.isIso_ihomModelToIhom
AlgebraicGeometry.OModulePresheaf.isScalarTower
AlgebraicGeometry.Scheme.OrderedAffineCover.instLinearOrder
AlgebraicGeometry.OModulePresheaf.module
AlgebraicGeometry.Scheme.OrderedAffineCover.instFintype
AlgebraicGeometry.Scheme.OrderedAffineCover.instFintypeIdx
AlgebraicGeometry.OModulePresheaf.addCommGroup
attribute [-instance]
AlgebraicGeometry.Scheme.OrderedAffineCover.instDecidableEqIdx
AlgebraicGeometry.OModulePresheaf.moduleSections
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instDecidableEqIdx
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instFintype
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instLinearOrder
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instFintypeIdx
AlgebraicGeometry.OModulePresheaf.instSubsingletonObjZero
AlgebraicGeometry.OModulePresheaf.Leray.relAltC_scalarTower
AlgebraicGeometry.OModulePresheaf.Leray.ker_relAltd_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.relAltC_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.biC_abGrp
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.ker_relAltd_smul
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_scalarTower
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_smul
AlgebraicGeometry.OModulePresheaf.Leray.biC_module
DoubleComplex.instModuleE₂I
DoubleComplex.Bounded.modR
DoubleComplex.instModuleE₂II
DoubleComplex.instAddCommGroupE₂II
DoubleComplex.Bounded.abGrp
DoubleComplex.instAddCommGroupE₂I
AlgebraicGeometry.ChowDatum.hι_closed
AlgebraicGeometry.ChowDatumProj.hιN_closed
AlgebraicGeometry.ChowDatumProj.hp_proper
AlgebraicGeometry.ChowDatum.hp_isoU
AlgebraicGeometry.ChowDatum.hp_proper
AlgebraicGeometry.ProjSpace.algebraAway
AlgebraicGeometry.ProjSpace.instIsProperProdOverπ
AlgebraicGeometry.ChowDatumProj.hp_isoU
AlgebraicGeometry.ProjSpace.isProper_π
AlgebraicGeometry.ProjSpace.finiteType_mvPolynomial
ProjSpaceCech.GradedModule.H.module
ProjSpaceCech.GradedModule.H.addCommGroup
ProjSpaceCech.GradedModule.sec.instAdd
ProjSpaceCech.GradedModule.sec.instNeg
ProjSpaceCech.GradedModule.acg
ProjSpaceCech.GradedModule.Frac.setoid
ProjSpaceCech.GradedModule.modR
ProjSpaceCech.GradedModule.sec.instModule
attribute [-instance]
ProjSpaceCech.GradedModule.sec.instAddCommGroup
ProjSpaceCech.GradedModule.sec.instZero
ProjSpaceCech.GradedModule.Presentation.fJ
ProjSpaceCech.GradedModule.sec.instSMul
ProjSpaceCech.Twist.H.module
ProjSpaceCech.Idx.instFintype
ProjSpaceCech.Twist.H.addCommGroup
ProjSpaceCech.Idx.instDecidableEq
ProjSpaceCech.Twist.Mon.instDecidableEq
ProjSpaceCech.Twist.cochain.instAddCommGroup
ProjSpaceCech.Twist.cochain.instModule
AlgebraicGeometry.FGSubalgebra.tensorStage_directedSystem
AlgebraicGeometry.RelEffCartierDiv.isClosedImmersion_subschemeι_resProdMap
AlgebraicGeometry.RelEffCartierDiv.isOpenImmersion_resProdMap
AlgebraicGeometry.SquareZero.isLocalRing'
AlgebraicGeometry.SquareZero.isLocalRing
attribute [-simp]
AlgebraicGeometry.SmoothProperCurve.sectionBaseChange_coe_snd
AlgebraicGeometry.SmoothProperCurve.sectionBaseChange_coe_fst
AlgebraicCurve.mulAdele_apply
AlgebraicCurve.residuePairing_apply_coe
AlgebraicCurve.mem_adeleBdd
AlgebraicCurve.weilSmul_one
AlgebraicCurve.diagonalHom_apply
AlgebraicCurve.weilSmul_apply
AlgebraicCurve.adeleSpaceMul_coe
AlgebraicCurve.mulAdele_one
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.twoAffineOpenCover_U1
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.mk.injEq
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.mk.sizeOf_spec
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.twoAffineOpenCover_U0
AlgebraicGeometry.Scheme.TwoAffineOpenCover.mk.injEq
AlgebraicGeometry.Scheme.TwoAffineOpenCover.mk.sizeOf_spec
AlgebraicGeometry.Scheme.TwoAffineOpenCover.pullback_U1
AlgebraicGeometry.Scheme.TwoAffineOpenCover.pullback_U0
TwoChartCech.Sections.mk.injEq
TwoChartCech.Cover.mk.injEq
TwoChartCech.GrothendieckComplex.mk.injEq
TwoChartCech.Sections.mk.sizeOf_spec
TwoChartCech.Cover.mk.sizeOf_spec
TwoChartCech.Cover.lineBundle_r0_apply
TwoChartCech.GrothendieckComplex.mk.sizeOf_spec
TwoChartCech.Cover.lineBundle_r1_apply
CoherentBaseChange.TwoTermComplex.mk.sizeOf_spec
CoherentBaseChange.TwoTermComplex.mk.injEq
CategoryTheory.Functor.OverTotal.ofFibre_fst
CategoryTheory.Functor.overTotal_map_fst
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_J
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYoneda_toGlued_uliftYonedaGluedToSheaf
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_t'
attribute [-simp]
uliftYoneda_toGlued_uliftYonedaGluedToSheaf_assoc
attribute [-simp]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYonedaGluedToSheaf_app_toGlued
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_openCover_map
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYonedaGluedToSheaf_app_comp
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_V
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_t
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_U
attribute [-simp]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_f
AlgebraicGeometry.RelPicard.designationOfRepresentableBy_P
AlgebraicGeometry.RelPicard.designationOfRepresentableBy_toBase
AlgebraicGeometry.RelPicard.rigSection_snd
AlgebraicGeometry.RelPicard.RigidifiedLineBundle.ofInvertible_L
AlgebraicGeometry.RelPicard.rigSection_snd_assoc
AlgebraicCurve.coe_cechH0Equiv_apply
AlgebraicCurve.cechH1ToH1_mk
AlgebraicCurve.lSpaceOn_univ
AlgebraicCurve.lSpaceOn_empty
AlgebraicCurve.Place.congrEquiv_symm_apply
AlgebraicCurve.RationalFunctionField.heightOneSpectrumOfIrreducible_asIdeal
AlgebraicCurve.Place.congrRingEquiv_toValuationSubring
AlgebraicCurve.Place.congrEquiv_apply
AlgebraicCurve.Place.coe_comapSymmRingEquiv_apply
AlgebraicCurve.RationalFunctionField.deg_placeOfPoint
AlgebraicCurve.Divisor.mapRestrict_single
AlgebraicCurve.Divisor.pushforward_single
AlgebraicCurve.Place.coe_restrictInclusion
AlgebraicCurve.Place.mem_fiber
AlgebraicCurve.Place.restrict_toValuationSubring
AlgebraicCurve.Divisor.degree_pushforward
AlgebraicCurve.Place.restrictResidueMap_residue
AlgebraicCurve.Pic0.coe_pushforwardDegZeroHom
AlgebraicCurve.Pic0.coe_pullbackDegZeroHom
AlgebraicCurve.Place.placeOfPrime_toValuationSubring
AlgebraicCurve.Place.mem_fiberOver
AlgebraicCurve.Place.fiberEquiv_symm_apply
AlgebraicCurve.Place.fiberEquiv_apply
AlgebraicCurve.Place.centerHeightOneSpectrum_asIdeal
attribute [-simp]
AlgebraicCurve.Divisor.degree_pushforwardAlong
AlgebraicCurve.Pic0.coe_degZeroCorrespondence
AlgebraicCurve.Place.mem_fiberAlong
AlgebraicCurve.SemilinearAut.toRingAut_inv
AlgebraicCurve.SemilinearAut.smul_def
AlgebraicCurve.SemilinearAut.smul_single
AlgebraicCurve.SemilinearAut.smul_toValuationSubring
AlgebraicCurve.SemilinearAut.baseAut_inv
AlgebraicCurve.SemilinearAut.baseAut_ofAlgAut
AlgebraicCurve.SemilinearAut.toRingAut_ofAlgAut
AlgebraicCurve.SemilinearAut.toRingAut_one
AlgebraicCurve.SemilinearAut.deg_smul
AlgebraicCurve.SemilinearAut.degree_smul
AlgebraicCurve.SemilinearAut.coe_degZeroSMulHom
AlgebraicCurve.SemilinearAut.baseAut_mul
AlgebraicCurve.SemilinearAut.coe_smulValuationSubringEquiv_apply
AlgebraicCurve.SemilinearAut.baseAut_one
AlgebraicCurve.SemilinearAut.ofAlgAut_smul
AlgebraicCurve.SemilinearAut.coe_torsion_smul
AlgebraicCurve.SemilinearAut.toRingAut_mul
attribute [-simp]
AlgebraicCurve.RationalFunctionField.placeInfty_toValuationSubring
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeInfty
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_some
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeOfPoint
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_none
AlgebraicCurve.Divisor.evalFun_zero
AlgebraicCurve.Place.evalAt_one
AlgebraicCurve.Place.differentialCoeff_zero
AlgebraicCurve.Place.differentialCoeff_dCoord
AlgebraicCurve.TranscendenceTower.mk.sizeOf_spec
AlgebraicCurve.IntegralBasisInLSpace.mk.injEq
AlgebraicCurve.TranscendenceTower.mk.injEq
AlgebraicCurve.PoleDivisorPackage.mk.sizeOf_spec
AlgebraicCurve.IntegralBasisInLSpace.mk.sizeOf_spec
AlgebraicCurve.PoleDivisorPackage.mk.injEq
AlgebraicGeometry.RelPicard.thetaBundle_def
AlgebraicGeometry.RelPicard.picardBundle_def
AlgebraicGeometry.RelEffCartierDiv.toRelEffDivisor_ofRelEffDivisor
AlgebraicGeometry.RelEffCartierDiv.toRelEffDivisor_I
AlgebraicGeometry.mapOnProdOver_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.mk.sizeOf_spec
AlgebraicGeometry.RelEffCartierDiv.mk.injEq
AlgebraicGeometry.mapOnProdOver_snd
AlgebraicGeometry.mapOnProdOver_fst
attribute [-simp]
AlgebraicGeometry.mapOnProdOver_snd_assoc
AlgebraicGeometry.mapOnProdOver_id
AlgebraicCurve.RelEffDivisor.mk.sizeOf_spec
AlgebraicCurve.mapOnProd_fst
AlgebraicCurve.mapOnProd_fst_assoc
AlgebraicCurve.mapOnProd_snd
AlgebraicCurve.UnivDivisorPack.mk.injEq
AlgebraicCurve.RelEffDivisor.mk.injEq
AlgebraicCurve.UnivDivisorPack.mk.sizeOf_spec
AlgebraicCurve.mapOnProd_snd_assoc
AlgebraicGeometry.Scheme.Modules.exteriorPower_obj
PresheafOfModules.exteriorPower_map_ιMulti
PresheafOfModules.ExteriorPower.appₗ_apply
AlgebraicGeometry.prodKerGraph_one
AlgebraicGeometry.fibrePowOver.proj_comp
AlgebraicGeometry.prodKerGraph_zero
AlgebraicGeometry.RelEffCartierDiv.empty_I
AlgebraicGeometry.fibrePowOver.proj_comp_assoc
AlgebraicGeometry.graphOver_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.toPoint_comp
AlgebraicGeometry.RelEffCartierDiv.toPoint_comp_assoc
AlgebraicGeometry.graphOver_fst
AlgebraicGeometry.RelEffCartierDiv.ofPoint_I
AlgebraicGeometry.graphOver_snd
AlgebraicGeometry.graphOver_snd_assoc
AlgebraicCurve.SymmetricPowerPackage.mk.sizeOf_spec
AlgebraicCurve.SymmetricPowerPackage.mk.injEq
AlgebraicGeometry.FGSubalgebra.cocone_ι_app_apply
AlgebraicGeometry.RelPicard.fst_toProdSpec
AlgebraicGeometry.RelPicard.toProdSpec_fst_assoc
AlgebraicGeometry.RelPicard.pointsSubBasepointModule_cons
AlgebraicGeometry.RelPicard.pointsSubBasepointModule_nil
AlgebraicGeometry.RelPicard.fst_toProdSpec_assoc
AlgebraicGeometry.RelPicard.toProdSpec_fst
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.sub_app
AlgebraicGeometry.Scheme.IdealSheafData.sres_sresTop
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.add_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.mk.sizeOf_spec
AlgebraicGeometry.Scheme.IdealSheafData.coe_resLE
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.smul_app
attribute [-simp]
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.coe_ofLE_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.ideal_range
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.zero_app
AlgebraicGeometry.Scheme.IdealSheafData.sres_sres
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.comp_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.neg_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.id_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.coe_mulRight_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.nsmul_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.mk.injEq
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.zsmul_app
AlgebraicCurve.Place.CanonicalLocalResidueDataK.mk.sizeOf_spec
AlgebraicCurve.Place.CanonicalLocalResidueDataK.mk.injEq
AlgebraicCurve.adeleSingle_coe
AlgebraicCurve.kaehlerResidueTermKFam_apply
AlgebraicCurve.Place.LocalResidueData.mk.injEq
AlgebraicCurve.Place.LocalResidueData.mk.sizeOf_spec
AlgebraicCurve.Place.kw_ffgc_adicCompletionComapIntegers_coe
AlgebraicCurve.Place.CanonicalLocalResidueDataS.mk.sizeOf_spec
AlgebraicCurve.Place.mem_simplePoleSubmodule
AlgebraicCurve.Place.coe_uniformizerSubring
ModularCurve.Lg37.Lg37CompletionSection.mk.injEq
AlgebraicCurve.Place.CoefficientFieldSection.mk.injEq
AlgebraicCurve.Place.CanonicalLocalResidueDataS.mk.injEq
ModularCurve.Lg37.Lg37CompletionSection.mk.sizeOf_spec
AlgebraicCurve.Place.CoefficientFieldSection.mk.sizeOf_spec
AlgebraicCurve.Place.poleSubmodule_one
AlgebraicCurve.Place.mem_poleSubmodule
AlgebraicGeometry.Scheme.Modules.toUnitSection_ofUnitSection
AlgebraicGeometry.Scheme.Modules.pullbackSection_def
AlgebraicGeometry.Scheme.Modules.ofUnitSection_toUnitSection
PresheafOfModules.InternalHom.IsSheafAux.appAt_toPresheafHom
SheafOfModules.ihomSectionsEquivFamily_unit
AlgebraicGeometry.Scheme.Modules.restrictHomEquivFamily_apply
SheafOfModules.ihomEval_unit_app
AlgebraicGeometry.Scheme.Modules.ihomEval_zero_right
AlgebraicGeometry.Scheme.Modules.ihomEval_zero_left
AlgebraicGeometry.Scheme.Modules.homOfFamily_app_apply
SheafOfModules.unit_ihomSectionsEquivFamily
AlgebraicGeometry.Scheme.Modules.familyOfHom_app
attribute [-simp]
AlgebraicGeometry.Scheme.Modules.restrictUnitIso_hom_app_apply
AlgebraicGeometry.Scheme.Modules.restrictUnitIso_inv_app_apply
AlgebraicGeometry.Scheme.Modules.restrictHomOfFamily_app_apply
AlgebraicGeometry.Scheme.Modules.restrictHomEquivFamily_symm_apply
AlgebraicGeometry.Scheme.Modules.tensorSections_zero_right
AlgebraicGeometry.Scheme.Modules.map_unitSection
AlgebraicGeometry.Scheme.Modules.tensorSectionsBilin_apply
AlgebraicGeometry.Scheme.Modules.tensorPowSection_zero
AlgebraicGeometry.Scheme.Modules.tensorSections_zero_left
AlgebraicGeometry.Scheme.Modules.tensorPow_zero
AlgebraicGeometry.Scheme.Modules.tensorPow_succ
AlgebraicGeometry.Scheme.OrderedAffineCover.mk.injEq
AlgebraicGeometry.OModulePresheaf.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCover.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.mk.injEq
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_neg
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_zero
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_sub
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_add
AlgebraicGeometry.Scheme.OrderedAffineCover.toCoverOf_U
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.mk.injEq
AlgebraicGeometry.Scheme.OrderedAffineCover.restrict_U
AlgebraicGeometry.OModulePresheaf.Hom.mk.injEq
AlgebraicGeometry.OModulePresheaf.Hom.id_app
AlgebraicGeometry.OModulePresheaf.AffHom.appSections_apply
AlgebraicGeometry.OModulePresheaf.AffHom.comp_app
AlgebraicGeometry.OModulePresheaf.AffSES.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.AffHom.kerMap_coe
AlgebraicGeometry.OModulePresheaf.AffHom.id_app
AlgebraicGeometry.OModulePresheaf.Hom.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.Hom.toAffHom_app
AlgebraicGeometry.OModulePresheaf.SES.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.AffHom.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.Hom.comp_app
AlgebraicGeometry.OModulePresheaf.SES.mk.injEq
AlgebraicGeometry.OModulePresheaf.AffHom.mk.injEq
AlgebraicGeometry.OModulePresheaf.Hom.appSections_apply
AlgebraicGeometry.OModulePresheaf.AffSES.mk.injEq
AlgebraicGeometry.OModulePresheaf.prod_obj
attribute [-simp]
AlgebraicGeometry.OModulePresheaf.restrOpen_obj
AlgebraicGeometry.OModulePresheaf.DevissageStep.mk.injEq
AlgebraicGeometry.OModulePresheaf.pushforward_obj
AlgebraicGeometry.OModulePresheaf.im_obj
AlgebraicGeometry.OModulePresheaf.pow_obj
AlgebraicGeometry.OModulePresheaf.fstHom_app
AlgebraicGeometry.OModulePresheaf.ker_obj
AlgebraicGeometry.OModulePresheaf.coker_obj
AlgebraicGeometry.OModulePresheaf.DevissageStep.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCover.preimage_U
AlgebraicGeometry.OModulePresheaf.sndHom_app
AlgebraicGeometry.OModulePresheaf.Leray.restrictToPreimage_U
DoubleComplex.Bounded.mk.injEq
DoubleComplex.Bounded.mk.sizeOf_spec
DoubleComplex.Convergence.mk.injEq
DoubleComplex.Convergence.mk.sizeOf_spec
DoubleComplex.SubQuot.mk.sizeOf_spec
DoubleComplex.SubQuot.mk.injEq
AlgebraicGeometry.ChowDatumProj.mk.sizeOf_spec
AlgebraicGeometry.ChowDatum.mk.sizeOf_spec
AlgebraicGeometry.ChowDatumProj.mk.injEq
AlgebraicGeometry.ChowDatum.mk.injEq
ProjSpaceCech.GradedModule.mk.injEq
ProjSpaceCech.GradedModule.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Frac.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Presentation.mk.injEq
ProjSpaceCech.GradedModule.Frac.mk.injEq
ProjSpaceCech.GradedModule.Presentation.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Hom.shift_toLinearMap
ProjSpaceCech.GradedModule.Hom.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Hom.mk.injEq
TwoChartCech.Mumford.dK_apply
TwoChartCech.Mumford.ι0_apply
TwoChartCech.Mumford.ι1_apply
TwoChartCech.KerCoprod.dK_apply
TwoChartCech.KerCoprod.ι1_apply
TwoChartCech.KerCoprod.ι0_apply
AlgebraicGeometry.tilde.functorCompPullbackSpecIso_app
AlgebraicGeometry.RelPicard.LFP.stageHom_val
AlgebraicGeometry.RelPicard.BaseChange.relSubPicPresheafRestrictIso_hom_app_coe
attribute [-simp]
AlgebraicGeometry.RelPicard.BaseChange.relSubPicPresheafRestrictIso_inv_app_coe
AlgebraicGeometry.RelPicard.BaseChange.restrict_P
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_comp
AlgebraicGeometry.RelEffCartierDiv.functor_map_fst
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.homEquiv_apply
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_pullbackAlong
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.homEquiv_symm_apply
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_comp_assoc
AlgebraicGeometry.RelEffCartierDiv.supportedIn_top
AlgebraicGeometry.RelEffCartierDiv.mem_supportedIn_iff
AlgebraicGeometry.RelEffCartierDiv.supportedIn_top_eq
AlgebraicGeometry.RelEffCartierDiv.restrictAlong_extendAlong
AlgebraicGeometry.RelEffCartierDiv.extendAlong_I
AlgebraicGeometry.RelEffCartierDiv.resProdMap_snd
AlgebraicGeometry.RelEffCartierDiv.restrictAlong_I
AlgebraicGeometry.RelEffCartierDiv.extendAlong_restrictAlong
AlgebraicGeometry.RelEffCartierDiv.resProdMap_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.resProdMap_snd_assoc
AlgebraicGeometry.RelEffCartierDiv.resProdMap_fst
CoherentBaseChange.FibreH0Family.mk.sizeOf_spec
CoherentBaseChange.FibreH0Family.mk.injEq
AlgebraicGeometry.Scheme.Modules.ProjPresentation.mk.injEq
AlgebraicGeometry.Scheme.Modules.ProjPresentation.mk.sizeOf_spec
GoodReductionJacobian.RelativeGroupLaw.nsmul_zero
GoodReductionJacobian.RelativeGroupLaw.mem_torsionSubset
GoodReductionJacobian.RelativeGroupLaw.nsmul_succ
AlgebraicGeometry.TangentPoints.map_coe
AlgebraicGeometry.SquareZero.basePoint_toBase_assoc
AlgebraicGeometry.SquareZero.basePoint_toBase
AlgebraicGeometry.SquareZero.basePoint_specMap
AlgebraicGeometry.SquareZero.basePointOver_coe
AlgebraicGeometry.SquareZero.specMap_toBase_assoc
AlgebraicGeometry.SquareZero.specMapOver_coe
AlgebraicGeometry.RelPicard.TrivialModDeformations.map_coe
AlgebraicGeometry.SquareZero.specMap_toBase
AlgebraicGeometry.SquareZero.basePoint_specMap_assoc
noncomputable section
open CategoryTheory CategoryTheory.Limits AlgebraicGeometry AlgebraicGeometry.RelPicard
NeronModelInfra GoodReductionJacobian AlgebraicCurve
universe u v
namespace P2mJacDim
section Compare
variable {R : Type u} [CommRing R] {C : Scheme.{u}} {c : C ⟶ Spec (CommRingCat.of R)}
{ε : SchemeHomOver (𝟙 (Spec (CommRingCat.of R))) c} {P : SubPicCondition c ε}
{D D' : RelativePic0Designation R c}
JacobianVarieties.Picard.Proofs.PicardGenusDimension.P2mJacDim.compare_comp_compare
Source context 40 commands
Surrounding namespaces, section variables, and local commands at this declaration.
section ProofImplementation
namespace JacobianVarieties.Picard.Proofs.PicardGenusDimension
attribute [-instance]
AlgebraicGeometry.SmoothOfRelativeDimension.fiberToSpecResidueField
AlgebraicGeometry.SmoothOfRelativeDimension.pullback_snd
AlgebraicGeometry.SmoothOfRelativeDimension.pullback_fst
AlgebraicGeometry.SmoothOfRelativeDimension.smooth_one
AlgebraicGeometry.SmoothProperCurve.isIntegral_pullback_Spec_field
AlgebraicGeometry.IsProper.fiberToSpecResidueField
TwoChartCech.Sections.M0_moduleA
TwoChartCech.Sections.M1_module
TwoChartCech.Cover.A01_algebra
TwoChartCech.Cover.A0_algebra
TwoChartCech.Cover.A1_commRing
TwoChartCech.Cover.A1_algebra
TwoChartCech.Sections.M01_module
TwoChartCech.Sections.M0_addCommGroup
TwoChartCech.Sections.M0_tower
TwoChartCech.Sections.M01_addCommGroup
TwoChartCech.Cover.A0_commRing
TwoChartCech.Sections.M1_tower
TwoChartCech.Sections.M01_moduleA
TwoChartCech.Sections.M0_module
TwoChartCech.Sections.M1_moduleA
TwoChartCech.Sections.M1_addCommGroup
TwoChartCech.Cover.A01_commRing
TwoChartCech.Sections.M01_tower
CoherentBaseChange.TwoTermComplex.C0_module
CoherentBaseChange.TwoTermComplex.C0_addCommGroup
CoherentBaseChange.TwoTermComplex.C1_module
CoherentBaseChange.TwoTermComplex.C1_addCommGroup
CoherentBaseChange.TwoTermComplex.C0_free
CoherentBaseChange.TwoTermComplex.C1_finite
CoherentBaseChange.TwoTermComplex.C0_finite
CoherentBaseChange.TwoTermComplex.C1_free
attribute [-instance]
instIsLocallyInjectiveFunUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.instIsLocallySurjectiveUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.instIsOpenImmersionToGlued
attribute [-instance]
instIsIsoSheafZariskiTopologyTypeUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.RelPicard.isOpenImmersion_toGlued
AlgebraicCurve.Place.instIsRankOneDiscreteWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.Place.instIsTrivialOnWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.instFundamentalIdentityOfSumRamificationInertia
attribute [-instance]
AlgebraicCurve.Place.instIsScalarTowerResidueFieldRestrictPushforward
AlgebraicCurve.Place.instAlgebraResidueFieldRestrictPushforward
AlgebraicCurve.Place.instIsLocalHomRestrictInclusion
AlgebraicCurve.Place.instIsPrimeCenter
AlgebraicCurve.Place.instIsFractionRingIntegralClosureAt
attribute [-instance]
instIsTorsionFreeSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
attribute [-instance]
AlgebraicCurve.Place.instIsDedekindDomainIntegralClosureAt
AlgebraicCurve.Place.instFiniteSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
AlgebraicCurve.SemilinearAut.instDistribMulActionSubtypeProdRingAutMemSubgroupPic0
AlgebraicCurve.SemilinearAut.instDistribMulActionSubtypeProdRingAutMemSubgroupDivisor
AlgebraicCurve.Pic0.instModuleZModTorsion
AlgebraicCurve.SemilinearAut.instSMulSubtypeProdRingAutMemSubgroupPlace
AlgebraicCurve.SemilinearAut.instDistribMulActionTorsion
AlgebraicCurve.SemilinearAut.instSMulSubtypeProdRingAutMemSubgroupPic0
AlgebraicCurve.SemilinearAut.instSMulTorsion
AlgebraicCurve.SemilinearAut.instMulActionSubtypeProdRingAutMemSubgroupPlace
AlgebraicCurve.SemilinearAut.instSMulCommClassZModTorsion
AlgebraicCurve.SemilinearAut.instMulSemiringActionSubtypeProdRingAutMemSubgroup
AlgebraicCurve.RationalFunctionField.instNontrivialInftyValueGroup
PresheafOfModules.ExteriorPower.instModulePresheafAb
AlgebraicGeometry.RelEffCartierDiv.subsingleton_of_degree_zero
AlgebraicGeometry.RelEffCartierDiv.isIso_subschemeIota_snd_of_degree_one
AlgebraicGeometry.isIso_ker_graphOver_subschemeIota_snd
AlgebraicGeometry.isClosedImmersion_graphOver
AlgebraicGeometry.FGSubalgebra.instIsDirectedLe
attribute [-instance]
instQuasiSeparatedSpaceCarrierCarrierCommRingCatObjOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsCofilteredOpposite
AlgebraicGeometry.FGSubalgebra.instIsAffineObjOppositeSchemeSpecDiagram
AlgebraicGeometry.FGSubalgebra.instNonempty
AlgebraicGeometry.FGSubalgebra.instNonemptySubtypeLeSubalgebraValFG
attribute [-instance]
instCompactSpaceCarrierCarrierCommRingCatObjOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsDirectedSubtypeLeSubalgebraValFG
AlgebraicGeometry.FGSubalgebra.instIsAffineHomMapOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsFiltered
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instNeg
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSMulInt
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instAddCommGroup
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instAdd
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSub
attribute [-instance]
instModuleCarrierObjOppositeOpensCarrierCarrierCommRingCatPresheafOpOpensTop
attribute [-instance]
instSMulCarrierObjOppositeOpensCarrierCarrierCommRingCatPresheafOpOpensTop
attribute [-instance]
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSMulNat
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instZero
AlgebraicCurve.instHasLocalResidue_of_hasCanonicalLocalResidueK
AlgebraicCurve.instHasCanonicalLocalResidueK_of_hasCanonicalLocalResidueKStar
AlgebraicCurve.Place.kw_ffgc_finiteDimensional_adicCompletion
AlgebraicCurve.Place.kw_ffgc_isScalarTower_integersIntegersCompletion
ModularCurve.KwF4gRRTate.instAlgebraKAdicCompletionIntegers
AlgebraicCurve.Place.kw_ffgc_continuousSMul_adicCompletionComap
AlgebraicCurve.Place.kw_ffgc_isScalarTower_integersCompletionCompletion
attribute [-instance]
instLiesOverSubtypeAdicCompletionMemValuationSubringAdicCompletionIntegersCompletionIdealAsIdeal
attribute [-instance]
AlgebraicCurve.instHasCanonicalLocalResidueK
AlgebraicCurve.Place.instAlgebra_restrictResidueField
AlgebraicCurve.Place.instIsScalarTower_restrictResidueField
AlgebraicCurve.instHasLocalResidue
AlgebraicCurve.HasSeparableResidue.of_perfectField_of_isCurveOver
AlgebraicCurve.HasSeparableResidue.of_perfectField
AlgebraicCurve.Place.instIsLocalHom_restrictSubringHom
AlgebraicCurve.instHasCanonicalLocalResidueKStar
ModularCurve.KwNo6Pin.isLocalRing_completion
SheafOfModules.isIso_ihomModelToIhom
AlgebraicGeometry.OModulePresheaf.isScalarTower
AlgebraicGeometry.Scheme.OrderedAffineCover.instLinearOrder
AlgebraicGeometry.OModulePresheaf.module
AlgebraicGeometry.Scheme.OrderedAffineCover.instFintype
AlgebraicGeometry.Scheme.OrderedAffineCover.instFintypeIdx
AlgebraicGeometry.OModulePresheaf.addCommGroup
attribute [-instance]
AlgebraicGeometry.Scheme.OrderedAffineCover.instDecidableEqIdx
AlgebraicGeometry.OModulePresheaf.moduleSections
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instDecidableEqIdx
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instFintype
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instLinearOrder
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instFintypeIdx
AlgebraicGeometry.OModulePresheaf.instSubsingletonObjZero
AlgebraicGeometry.OModulePresheaf.Leray.relAltC_scalarTower
AlgebraicGeometry.OModulePresheaf.Leray.ker_relAltd_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.relAltC_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.biC_abGrp
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.ker_relAltd_smul
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_scalarTower
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_smul
AlgebraicGeometry.OModulePresheaf.Leray.biC_module
DoubleComplex.instModuleE₂I
DoubleComplex.Bounded.modR
DoubleComplex.instModuleE₂II
DoubleComplex.instAddCommGroupE₂II
DoubleComplex.Bounded.abGrp
DoubleComplex.instAddCommGroupE₂I
AlgebraicGeometry.ChowDatum.hι_closed
AlgebraicGeometry.ChowDatumProj.hιN_closed
AlgebraicGeometry.ChowDatumProj.hp_proper
AlgebraicGeometry.ChowDatum.hp_isoU
AlgebraicGeometry.ChowDatum.hp_proper
AlgebraicGeometry.ProjSpace.algebraAway
AlgebraicGeometry.ProjSpace.instIsProperProdOverπ
AlgebraicGeometry.ChowDatumProj.hp_isoU
AlgebraicGeometry.ProjSpace.isProper_π
AlgebraicGeometry.ProjSpace.finiteType_mvPolynomial
ProjSpaceCech.GradedModule.H.module
ProjSpaceCech.GradedModule.H.addCommGroup
ProjSpaceCech.GradedModule.sec.instAdd
ProjSpaceCech.GradedModule.sec.instNeg
ProjSpaceCech.GradedModule.acg
ProjSpaceCech.GradedModule.Frac.setoid
ProjSpaceCech.GradedModule.modR
ProjSpaceCech.GradedModule.sec.instModule
attribute [-instance]
ProjSpaceCech.GradedModule.sec.instAddCommGroup
ProjSpaceCech.GradedModule.sec.instZero
ProjSpaceCech.GradedModule.Presentation.fJ
ProjSpaceCech.GradedModule.sec.instSMul
ProjSpaceCech.Twist.H.module
ProjSpaceCech.Idx.instFintype
ProjSpaceCech.Twist.H.addCommGroup
ProjSpaceCech.Idx.instDecidableEq
ProjSpaceCech.Twist.Mon.instDecidableEq
ProjSpaceCech.Twist.cochain.instAddCommGroup
ProjSpaceCech.Twist.cochain.instModule
AlgebraicGeometry.FGSubalgebra.tensorStage_directedSystem
AlgebraicGeometry.RelEffCartierDiv.isClosedImmersion_subschemeι_resProdMap
AlgebraicGeometry.RelEffCartierDiv.isOpenImmersion_resProdMap
AlgebraicGeometry.SquareZero.isLocalRing'
AlgebraicGeometry.SquareZero.isLocalRing
attribute [-simp]
AlgebraicGeometry.SmoothProperCurve.sectionBaseChange_coe_snd
AlgebraicGeometry.SmoothProperCurve.sectionBaseChange_coe_fst
AlgebraicCurve.mulAdele_apply
AlgebraicCurve.residuePairing_apply_coe
AlgebraicCurve.mem_adeleBdd
AlgebraicCurve.weilSmul_one
AlgebraicCurve.diagonalHom_apply
AlgebraicCurve.weilSmul_apply
AlgebraicCurve.adeleSpaceMul_coe
AlgebraicCurve.mulAdele_one
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.twoAffineOpenCover_U1
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.mk.injEq
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.mk.sizeOf_spec
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.twoAffineOpenCover_U0
AlgebraicGeometry.Scheme.TwoAffineOpenCover.mk.injEq
AlgebraicGeometry.Scheme.TwoAffineOpenCover.mk.sizeOf_spec
AlgebraicGeometry.Scheme.TwoAffineOpenCover.pullback_U1
AlgebraicGeometry.Scheme.TwoAffineOpenCover.pullback_U0
TwoChartCech.Sections.mk.injEq
TwoChartCech.Cover.mk.injEq
TwoChartCech.GrothendieckComplex.mk.injEq
TwoChartCech.Sections.mk.sizeOf_spec
TwoChartCech.Cover.mk.sizeOf_spec
TwoChartCech.Cover.lineBundle_r0_apply
TwoChartCech.GrothendieckComplex.mk.sizeOf_spec
TwoChartCech.Cover.lineBundle_r1_apply
CoherentBaseChange.TwoTermComplex.mk.sizeOf_spec
CoherentBaseChange.TwoTermComplex.mk.injEq
CategoryTheory.Functor.OverTotal.ofFibre_fst
CategoryTheory.Functor.overTotal_map_fst
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_J
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYoneda_toGlued_uliftYonedaGluedToSheaf
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_t'
attribute [-simp]
uliftYoneda_toGlued_uliftYonedaGluedToSheaf_assoc
attribute [-simp]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYonedaGluedToSheaf_app_toGlued
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_openCover_map
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYonedaGluedToSheaf_app_comp
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_V
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_t
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_U
attribute [-simp]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_f
AlgebraicGeometry.RelPicard.designationOfRepresentableBy_P
AlgebraicGeometry.RelPicard.designationOfRepresentableBy_toBase
AlgebraicGeometry.RelPicard.rigSection_snd
AlgebraicGeometry.RelPicard.RigidifiedLineBundle.ofInvertible_L
AlgebraicGeometry.RelPicard.rigSection_snd_assoc
AlgebraicCurve.coe_cechH0Equiv_apply
AlgebraicCurve.cechH1ToH1_mk
AlgebraicCurve.lSpaceOn_univ
AlgebraicCurve.lSpaceOn_empty
AlgebraicCurve.Place.congrEquiv_symm_apply
AlgebraicCurve.RationalFunctionField.heightOneSpectrumOfIrreducible_asIdeal
AlgebraicCurve.Place.congrRingEquiv_toValuationSubring
AlgebraicCurve.Place.congrEquiv_apply
AlgebraicCurve.Place.coe_comapSymmRingEquiv_apply
AlgebraicCurve.RationalFunctionField.deg_placeOfPoint
AlgebraicCurve.Divisor.mapRestrict_single
AlgebraicCurve.Divisor.pushforward_single
AlgebraicCurve.Place.coe_restrictInclusion
AlgebraicCurve.Place.mem_fiber
AlgebraicCurve.Place.restrict_toValuationSubring
AlgebraicCurve.Divisor.degree_pushforward
AlgebraicCurve.Place.restrictResidueMap_residue
AlgebraicCurve.Pic0.coe_pushforwardDegZeroHom
AlgebraicCurve.Pic0.coe_pullbackDegZeroHom
AlgebraicCurve.Place.placeOfPrime_toValuationSubring
AlgebraicCurve.Place.mem_fiberOver
AlgebraicCurve.Place.fiberEquiv_symm_apply
AlgebraicCurve.Place.fiberEquiv_apply
AlgebraicCurve.Place.centerHeightOneSpectrum_asIdeal
attribute [-simp]
AlgebraicCurve.Divisor.degree_pushforwardAlong
AlgebraicCurve.Pic0.coe_degZeroCorrespondence
AlgebraicCurve.Place.mem_fiberAlong
AlgebraicCurve.SemilinearAut.toRingAut_inv
AlgebraicCurve.SemilinearAut.smul_def
AlgebraicCurve.SemilinearAut.smul_single
AlgebraicCurve.SemilinearAut.smul_toValuationSubring
AlgebraicCurve.SemilinearAut.baseAut_inv
AlgebraicCurve.SemilinearAut.baseAut_ofAlgAut
AlgebraicCurve.SemilinearAut.toRingAut_ofAlgAut
AlgebraicCurve.SemilinearAut.toRingAut_one
AlgebraicCurve.SemilinearAut.deg_smul
AlgebraicCurve.SemilinearAut.degree_smul
AlgebraicCurve.SemilinearAut.coe_degZeroSMulHom
AlgebraicCurve.SemilinearAut.baseAut_mul
AlgebraicCurve.SemilinearAut.coe_smulValuationSubringEquiv_apply
AlgebraicCurve.SemilinearAut.baseAut_one
AlgebraicCurve.SemilinearAut.ofAlgAut_smul
AlgebraicCurve.SemilinearAut.coe_torsion_smul
AlgebraicCurve.SemilinearAut.toRingAut_mul
attribute [-simp]
AlgebraicCurve.RationalFunctionField.placeInfty_toValuationSubring
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeInfty
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_some
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeOfPoint
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_none
AlgebraicCurve.Divisor.evalFun_zero
AlgebraicCurve.Place.evalAt_one
AlgebraicCurve.Place.differentialCoeff_zero
AlgebraicCurve.Place.differentialCoeff_dCoord
AlgebraicCurve.TranscendenceTower.mk.sizeOf_spec
AlgebraicCurve.IntegralBasisInLSpace.mk.injEq
AlgebraicCurve.TranscendenceTower.mk.injEq
AlgebraicCurve.PoleDivisorPackage.mk.sizeOf_spec
AlgebraicCurve.IntegralBasisInLSpace.mk.sizeOf_spec
AlgebraicCurve.PoleDivisorPackage.mk.injEq
AlgebraicGeometry.RelPicard.thetaBundle_def
AlgebraicGeometry.RelPicard.picardBundle_def
AlgebraicGeometry.RelEffCartierDiv.toRelEffDivisor_ofRelEffDivisor
AlgebraicGeometry.RelEffCartierDiv.toRelEffDivisor_I
AlgebraicGeometry.mapOnProdOver_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.mk.sizeOf_spec
AlgebraicGeometry.RelEffCartierDiv.mk.injEq
AlgebraicGeometry.mapOnProdOver_snd
AlgebraicGeometry.mapOnProdOver_fst
attribute [-simp]
AlgebraicGeometry.mapOnProdOver_snd_assoc
AlgebraicGeometry.mapOnProdOver_id
AlgebraicCurve.RelEffDivisor.mk.sizeOf_spec
AlgebraicCurve.mapOnProd_fst
AlgebraicCurve.mapOnProd_fst_assoc
AlgebraicCurve.mapOnProd_snd
AlgebraicCurve.UnivDivisorPack.mk.injEq
AlgebraicCurve.RelEffDivisor.mk.injEq
AlgebraicCurve.UnivDivisorPack.mk.sizeOf_spec
AlgebraicCurve.mapOnProd_snd_assoc
AlgebraicGeometry.Scheme.Modules.exteriorPower_obj
PresheafOfModules.exteriorPower_map_ιMulti
PresheafOfModules.ExteriorPower.appₗ_apply
AlgebraicGeometry.prodKerGraph_one
AlgebraicGeometry.fibrePowOver.proj_comp
AlgebraicGeometry.prodKerGraph_zero
AlgebraicGeometry.RelEffCartierDiv.empty_I
AlgebraicGeometry.fibrePowOver.proj_comp_assoc
AlgebraicGeometry.graphOver_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.toPoint_comp
AlgebraicGeometry.RelEffCartierDiv.toPoint_comp_assoc
AlgebraicGeometry.graphOver_fst
AlgebraicGeometry.RelEffCartierDiv.ofPoint_I
AlgebraicGeometry.graphOver_snd
AlgebraicGeometry.graphOver_snd_assoc
AlgebraicCurve.SymmetricPowerPackage.mk.sizeOf_spec
AlgebraicCurve.SymmetricPowerPackage.mk.injEq
AlgebraicGeometry.FGSubalgebra.cocone_ι_app_apply
AlgebraicGeometry.RelPicard.fst_toProdSpec
AlgebraicGeometry.RelPicard.toProdSpec_fst_assoc
AlgebraicGeometry.RelPicard.pointsSubBasepointModule_cons
AlgebraicGeometry.RelPicard.pointsSubBasepointModule_nil
AlgebraicGeometry.RelPicard.fst_toProdSpec_assoc
AlgebraicGeometry.RelPicard.toProdSpec_fst
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.sub_app
AlgebraicGeometry.Scheme.IdealSheafData.sres_sresTop
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.add_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.mk.sizeOf_spec
AlgebraicGeometry.Scheme.IdealSheafData.coe_resLE
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.smul_app
attribute [-simp]
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.coe_ofLE_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.ideal_range
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.zero_app
AlgebraicGeometry.Scheme.IdealSheafData.sres_sres
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.comp_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.neg_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.id_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.coe_mulRight_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.nsmul_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.mk.injEq
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.zsmul_app
AlgebraicCurve.Place.CanonicalLocalResidueDataK.mk.sizeOf_spec
AlgebraicCurve.Place.CanonicalLocalResidueDataK.mk.injEq
AlgebraicCurve.adeleSingle_coe
AlgebraicCurve.kaehlerResidueTermKFam_apply
AlgebraicCurve.Place.LocalResidueData.mk.injEq
AlgebraicCurve.Place.LocalResidueData.mk.sizeOf_spec
AlgebraicCurve.Place.kw_ffgc_adicCompletionComapIntegers_coe
AlgebraicCurve.Place.CanonicalLocalResidueDataS.mk.sizeOf_spec
AlgebraicCurve.Place.mem_simplePoleSubmodule
AlgebraicCurve.Place.coe_uniformizerSubring
ModularCurve.Lg37.Lg37CompletionSection.mk.injEq
AlgebraicCurve.Place.CoefficientFieldSection.mk.injEq
AlgebraicCurve.Place.CanonicalLocalResidueDataS.mk.injEq
ModularCurve.Lg37.Lg37CompletionSection.mk.sizeOf_spec
AlgebraicCurve.Place.CoefficientFieldSection.mk.sizeOf_spec
AlgebraicCurve.Place.poleSubmodule_one
AlgebraicCurve.Place.mem_poleSubmodule
AlgebraicGeometry.Scheme.Modules.toUnitSection_ofUnitSection
AlgebraicGeometry.Scheme.Modules.pullbackSection_def
AlgebraicGeometry.Scheme.Modules.ofUnitSection_toUnitSection
PresheafOfModules.InternalHom.IsSheafAux.appAt_toPresheafHom
SheafOfModules.ihomSectionsEquivFamily_unit
AlgebraicGeometry.Scheme.Modules.restrictHomEquivFamily_apply
SheafOfModules.ihomEval_unit_app
AlgebraicGeometry.Scheme.Modules.ihomEval_zero_right
AlgebraicGeometry.Scheme.Modules.ihomEval_zero_left
AlgebraicGeometry.Scheme.Modules.homOfFamily_app_apply
SheafOfModules.unit_ihomSectionsEquivFamily
AlgebraicGeometry.Scheme.Modules.familyOfHom_app
attribute [-simp]
AlgebraicGeometry.Scheme.Modules.restrictUnitIso_hom_app_apply
AlgebraicGeometry.Scheme.Modules.restrictUnitIso_inv_app_apply
AlgebraicGeometry.Scheme.Modules.restrictHomOfFamily_app_apply
AlgebraicGeometry.Scheme.Modules.restrictHomEquivFamily_symm_apply
AlgebraicGeometry.Scheme.Modules.tensorSections_zero_right
AlgebraicGeometry.Scheme.Modules.map_unitSection
AlgebraicGeometry.Scheme.Modules.tensorSectionsBilin_apply
AlgebraicGeometry.Scheme.Modules.tensorPowSection_zero
AlgebraicGeometry.Scheme.Modules.tensorSections_zero_left
AlgebraicGeometry.Scheme.Modules.tensorPow_zero
AlgebraicGeometry.Scheme.Modules.tensorPow_succ
AlgebraicGeometry.Scheme.OrderedAffineCover.mk.injEq
AlgebraicGeometry.OModulePresheaf.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCover.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.mk.injEq
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_neg
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_zero
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_sub
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_add
AlgebraicGeometry.Scheme.OrderedAffineCover.toCoverOf_U
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.mk.injEq
AlgebraicGeometry.Scheme.OrderedAffineCover.restrict_U
AlgebraicGeometry.OModulePresheaf.Hom.mk.injEq
AlgebraicGeometry.OModulePresheaf.Hom.id_app
AlgebraicGeometry.OModulePresheaf.AffHom.appSections_apply
AlgebraicGeometry.OModulePresheaf.AffHom.comp_app
AlgebraicGeometry.OModulePresheaf.AffSES.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.AffHom.kerMap_coe
AlgebraicGeometry.OModulePresheaf.AffHom.id_app
AlgebraicGeometry.OModulePresheaf.Hom.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.Hom.toAffHom_app
AlgebraicGeometry.OModulePresheaf.SES.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.AffHom.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.Hom.comp_app
AlgebraicGeometry.OModulePresheaf.SES.mk.injEq
AlgebraicGeometry.OModulePresheaf.AffHom.mk.injEq
AlgebraicGeometry.OModulePresheaf.Hom.appSections_apply
AlgebraicGeometry.OModulePresheaf.AffSES.mk.injEq
AlgebraicGeometry.OModulePresheaf.prod_obj
attribute [-simp]
AlgebraicGeometry.OModulePresheaf.restrOpen_obj
AlgebraicGeometry.OModulePresheaf.DevissageStep.mk.injEq
AlgebraicGeometry.OModulePresheaf.pushforward_obj
AlgebraicGeometry.OModulePresheaf.im_obj
AlgebraicGeometry.OModulePresheaf.pow_obj
AlgebraicGeometry.OModulePresheaf.fstHom_app
AlgebraicGeometry.OModulePresheaf.ker_obj
AlgebraicGeometry.OModulePresheaf.coker_obj
AlgebraicGeometry.OModulePresheaf.DevissageStep.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCover.preimage_U
AlgebraicGeometry.OModulePresheaf.sndHom_app
AlgebraicGeometry.OModulePresheaf.Leray.restrictToPreimage_U
DoubleComplex.Bounded.mk.injEq
DoubleComplex.Bounded.mk.sizeOf_spec
DoubleComplex.Convergence.mk.injEq
DoubleComplex.Convergence.mk.sizeOf_spec
DoubleComplex.SubQuot.mk.sizeOf_spec
DoubleComplex.SubQuot.mk.injEq
AlgebraicGeometry.ChowDatumProj.mk.sizeOf_spec
AlgebraicGeometry.ChowDatum.mk.sizeOf_spec
AlgebraicGeometry.ChowDatumProj.mk.injEq
AlgebraicGeometry.ChowDatum.mk.injEq
ProjSpaceCech.GradedModule.mk.injEq
ProjSpaceCech.GradedModule.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Frac.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Presentation.mk.injEq
ProjSpaceCech.GradedModule.Frac.mk.injEq
ProjSpaceCech.GradedModule.Presentation.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Hom.shift_toLinearMap
ProjSpaceCech.GradedModule.Hom.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Hom.mk.injEq
TwoChartCech.Mumford.dK_apply
TwoChartCech.Mumford.ι0_apply
TwoChartCech.Mumford.ι1_apply
TwoChartCech.KerCoprod.dK_apply
TwoChartCech.KerCoprod.ι1_apply
TwoChartCech.KerCoprod.ι0_apply
AlgebraicGeometry.tilde.functorCompPullbackSpecIso_app
AlgebraicGeometry.RelPicard.LFP.stageHom_val
AlgebraicGeometry.RelPicard.BaseChange.relSubPicPresheafRestrictIso_hom_app_coe
attribute [-simp]
AlgebraicGeometry.RelPicard.BaseChange.relSubPicPresheafRestrictIso_inv_app_coe
AlgebraicGeometry.RelPicard.BaseChange.restrict_P
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_comp
AlgebraicGeometry.RelEffCartierDiv.functor_map_fst
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.homEquiv_apply
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_pullbackAlong
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.homEquiv_symm_apply
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_comp_assoc
AlgebraicGeometry.RelEffCartierDiv.supportedIn_top
AlgebraicGeometry.RelEffCartierDiv.mem_supportedIn_iff
AlgebraicGeometry.RelEffCartierDiv.supportedIn_top_eq
AlgebraicGeometry.RelEffCartierDiv.restrictAlong_extendAlong
AlgebraicGeometry.RelEffCartierDiv.extendAlong_I
AlgebraicGeometry.RelEffCartierDiv.resProdMap_snd
AlgebraicGeometry.RelEffCartierDiv.restrictAlong_I
AlgebraicGeometry.RelEffCartierDiv.extendAlong_restrictAlong
AlgebraicGeometry.RelEffCartierDiv.resProdMap_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.resProdMap_snd_assoc
AlgebraicGeometry.RelEffCartierDiv.resProdMap_fst
CoherentBaseChange.FibreH0Family.mk.sizeOf_spec
CoherentBaseChange.FibreH0Family.mk.injEq
AlgebraicGeometry.Scheme.Modules.ProjPresentation.mk.injEq
AlgebraicGeometry.Scheme.Modules.ProjPresentation.mk.sizeOf_spec
GoodReductionJacobian.RelativeGroupLaw.nsmul_zero
GoodReductionJacobian.RelativeGroupLaw.mem_torsionSubset
GoodReductionJacobian.RelativeGroupLaw.nsmul_succ
AlgebraicGeometry.TangentPoints.map_coe
AlgebraicGeometry.SquareZero.basePoint_toBase_assoc
AlgebraicGeometry.SquareZero.basePoint_toBase
AlgebraicGeometry.SquareZero.basePoint_specMap
AlgebraicGeometry.SquareZero.basePointOver_coe
AlgebraicGeometry.SquareZero.specMap_toBase_assoc
AlgebraicGeometry.SquareZero.specMapOver_coe
AlgebraicGeometry.RelPicard.TrivialModDeformations.map_coe
AlgebraicGeometry.SquareZero.specMap_toBase
AlgebraicGeometry.SquareZero.basePoint_specMap_assoc
noncomputable section
open CategoryTheory CategoryTheory.Limits AlgebraicGeometry AlgebraicGeometry.RelPicard
NeronModelInfra GoodReductionJacobian AlgebraicCurve
universe u v
namespace P2mJacDim
section Compare
variable {R : Type u} [CommRing R] {C : Scheme.{u}} {c : C ⟶ Spec (CommRingCat.of R)}
{ε : SchemeHomOver (𝟙 (Spec (CommRingCat.of R))) c} {P : SubPicCondition c ε}
{D D' : RelativePic0Designation R c}
JacobianVarieties.Picard.Proofs.PicardGenusDimension.P2mJacDim.isIso_compare
Source context 40 commands
Surrounding namespaces, section variables, and local commands at this declaration.
section ProofImplementation
namespace JacobianVarieties.Picard.Proofs.PicardGenusDimension
attribute [-instance]
AlgebraicGeometry.SmoothOfRelativeDimension.fiberToSpecResidueField
AlgebraicGeometry.SmoothOfRelativeDimension.pullback_snd
AlgebraicGeometry.SmoothOfRelativeDimension.pullback_fst
AlgebraicGeometry.SmoothOfRelativeDimension.smooth_one
AlgebraicGeometry.SmoothProperCurve.isIntegral_pullback_Spec_field
AlgebraicGeometry.IsProper.fiberToSpecResidueField
TwoChartCech.Sections.M0_moduleA
TwoChartCech.Sections.M1_module
TwoChartCech.Cover.A01_algebra
TwoChartCech.Cover.A0_algebra
TwoChartCech.Cover.A1_commRing
TwoChartCech.Cover.A1_algebra
TwoChartCech.Sections.M01_module
TwoChartCech.Sections.M0_addCommGroup
TwoChartCech.Sections.M0_tower
TwoChartCech.Sections.M01_addCommGroup
TwoChartCech.Cover.A0_commRing
TwoChartCech.Sections.M1_tower
TwoChartCech.Sections.M01_moduleA
TwoChartCech.Sections.M0_module
TwoChartCech.Sections.M1_moduleA
TwoChartCech.Sections.M1_addCommGroup
TwoChartCech.Cover.A01_commRing
TwoChartCech.Sections.M01_tower
CoherentBaseChange.TwoTermComplex.C0_module
CoherentBaseChange.TwoTermComplex.C0_addCommGroup
CoherentBaseChange.TwoTermComplex.C1_module
CoherentBaseChange.TwoTermComplex.C1_addCommGroup
CoherentBaseChange.TwoTermComplex.C0_free
CoherentBaseChange.TwoTermComplex.C1_finite
CoherentBaseChange.TwoTermComplex.C0_finite
CoherentBaseChange.TwoTermComplex.C1_free
attribute [-instance]
instIsLocallyInjectiveFunUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.instIsLocallySurjectiveUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.instIsOpenImmersionToGlued
attribute [-instance]
instIsIsoSheafZariskiTopologyTypeUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.RelPicard.isOpenImmersion_toGlued
AlgebraicCurve.Place.instIsRankOneDiscreteWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.Place.instIsTrivialOnWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.instFundamentalIdentityOfSumRamificationInertia
attribute [-instance]
AlgebraicCurve.Place.instIsScalarTowerResidueFieldRestrictPushforward
AlgebraicCurve.Place.instAlgebraResidueFieldRestrictPushforward
AlgebraicCurve.Place.instIsLocalHomRestrictInclusion
AlgebraicCurve.Place.instIsPrimeCenter
AlgebraicCurve.Place.instIsFractionRingIntegralClosureAt
attribute [-instance]
instIsTorsionFreeSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
attribute [-instance]
AlgebraicCurve.Place.instIsDedekindDomainIntegralClosureAt
AlgebraicCurve.Place.instFiniteSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
AlgebraicCurve.SemilinearAut.instDistribMulActionSubtypeProdRingAutMemSubgroupPic0
AlgebraicCurve.SemilinearAut.instDistribMulActionSubtypeProdRingAutMemSubgroupDivisor
AlgebraicCurve.Pic0.instModuleZModTorsion
AlgebraicCurve.SemilinearAut.instSMulSubtypeProdRingAutMemSubgroupPlace
AlgebraicCurve.SemilinearAut.instDistribMulActionTorsion
AlgebraicCurve.SemilinearAut.instSMulSubtypeProdRingAutMemSubgroupPic0
AlgebraicCurve.SemilinearAut.instSMulTorsion
AlgebraicCurve.SemilinearAut.instMulActionSubtypeProdRingAutMemSubgroupPlace
AlgebraicCurve.SemilinearAut.instSMulCommClassZModTorsion
AlgebraicCurve.SemilinearAut.instMulSemiringActionSubtypeProdRingAutMemSubgroup
AlgebraicCurve.RationalFunctionField.instNontrivialInftyValueGroup
PresheafOfModules.ExteriorPower.instModulePresheafAb
AlgebraicGeometry.RelEffCartierDiv.subsingleton_of_degree_zero
AlgebraicGeometry.RelEffCartierDiv.isIso_subschemeIota_snd_of_degree_one
AlgebraicGeometry.isIso_ker_graphOver_subschemeIota_snd
AlgebraicGeometry.isClosedImmersion_graphOver
AlgebraicGeometry.FGSubalgebra.instIsDirectedLe
attribute [-instance]
instQuasiSeparatedSpaceCarrierCarrierCommRingCatObjOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsCofilteredOpposite
AlgebraicGeometry.FGSubalgebra.instIsAffineObjOppositeSchemeSpecDiagram
AlgebraicGeometry.FGSubalgebra.instNonempty
AlgebraicGeometry.FGSubalgebra.instNonemptySubtypeLeSubalgebraValFG
attribute [-instance]
instCompactSpaceCarrierCarrierCommRingCatObjOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsDirectedSubtypeLeSubalgebraValFG
AlgebraicGeometry.FGSubalgebra.instIsAffineHomMapOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsFiltered
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instNeg
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSMulInt
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instAddCommGroup
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instAdd
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSub
attribute [-instance]
instModuleCarrierObjOppositeOpensCarrierCarrierCommRingCatPresheafOpOpensTop
attribute [-instance]
instSMulCarrierObjOppositeOpensCarrierCarrierCommRingCatPresheafOpOpensTop
attribute [-instance]
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSMulNat
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instZero
AlgebraicCurve.instHasLocalResidue_of_hasCanonicalLocalResidueK
AlgebraicCurve.instHasCanonicalLocalResidueK_of_hasCanonicalLocalResidueKStar
AlgebraicCurve.Place.kw_ffgc_finiteDimensional_adicCompletion
AlgebraicCurve.Place.kw_ffgc_isScalarTower_integersIntegersCompletion
ModularCurve.KwF4gRRTate.instAlgebraKAdicCompletionIntegers
AlgebraicCurve.Place.kw_ffgc_continuousSMul_adicCompletionComap
AlgebraicCurve.Place.kw_ffgc_isScalarTower_integersCompletionCompletion
attribute [-instance]
instLiesOverSubtypeAdicCompletionMemValuationSubringAdicCompletionIntegersCompletionIdealAsIdeal
attribute [-instance]
AlgebraicCurve.instHasCanonicalLocalResidueK
AlgebraicCurve.Place.instAlgebra_restrictResidueField
AlgebraicCurve.Place.instIsScalarTower_restrictResidueField
AlgebraicCurve.instHasLocalResidue
AlgebraicCurve.HasSeparableResidue.of_perfectField_of_isCurveOver
AlgebraicCurve.HasSeparableResidue.of_perfectField
AlgebraicCurve.Place.instIsLocalHom_restrictSubringHom
AlgebraicCurve.instHasCanonicalLocalResidueKStar
ModularCurve.KwNo6Pin.isLocalRing_completion
SheafOfModules.isIso_ihomModelToIhom
AlgebraicGeometry.OModulePresheaf.isScalarTower
AlgebraicGeometry.Scheme.OrderedAffineCover.instLinearOrder
AlgebraicGeometry.OModulePresheaf.module
AlgebraicGeometry.Scheme.OrderedAffineCover.instFintype
AlgebraicGeometry.Scheme.OrderedAffineCover.instFintypeIdx
AlgebraicGeometry.OModulePresheaf.addCommGroup
attribute [-instance]
AlgebraicGeometry.Scheme.OrderedAffineCover.instDecidableEqIdx
AlgebraicGeometry.OModulePresheaf.moduleSections
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instDecidableEqIdx
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instFintype
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instLinearOrder
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instFintypeIdx
AlgebraicGeometry.OModulePresheaf.instSubsingletonObjZero
AlgebraicGeometry.OModulePresheaf.Leray.relAltC_scalarTower
AlgebraicGeometry.OModulePresheaf.Leray.ker_relAltd_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.relAltC_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.biC_abGrp
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.ker_relAltd_smul
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_scalarTower
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_smul
AlgebraicGeometry.OModulePresheaf.Leray.biC_module
DoubleComplex.instModuleE₂I
DoubleComplex.Bounded.modR
DoubleComplex.instModuleE₂II
DoubleComplex.instAddCommGroupE₂II
DoubleComplex.Bounded.abGrp
DoubleComplex.instAddCommGroupE₂I
AlgebraicGeometry.ChowDatum.hι_closed
AlgebraicGeometry.ChowDatumProj.hιN_closed
AlgebraicGeometry.ChowDatumProj.hp_proper
AlgebraicGeometry.ChowDatum.hp_isoU
AlgebraicGeometry.ChowDatum.hp_proper
AlgebraicGeometry.ProjSpace.algebraAway
AlgebraicGeometry.ProjSpace.instIsProperProdOverπ
AlgebraicGeometry.ChowDatumProj.hp_isoU
AlgebraicGeometry.ProjSpace.isProper_π
AlgebraicGeometry.ProjSpace.finiteType_mvPolynomial
ProjSpaceCech.GradedModule.H.module
ProjSpaceCech.GradedModule.H.addCommGroup
ProjSpaceCech.GradedModule.sec.instAdd
ProjSpaceCech.GradedModule.sec.instNeg
ProjSpaceCech.GradedModule.acg
ProjSpaceCech.GradedModule.Frac.setoid
ProjSpaceCech.GradedModule.modR
ProjSpaceCech.GradedModule.sec.instModule
attribute [-instance]
ProjSpaceCech.GradedModule.sec.instAddCommGroup
ProjSpaceCech.GradedModule.sec.instZero
ProjSpaceCech.GradedModule.Presentation.fJ
ProjSpaceCech.GradedModule.sec.instSMul
ProjSpaceCech.Twist.H.module
ProjSpaceCech.Idx.instFintype
ProjSpaceCech.Twist.H.addCommGroup
ProjSpaceCech.Idx.instDecidableEq
ProjSpaceCech.Twist.Mon.instDecidableEq
ProjSpaceCech.Twist.cochain.instAddCommGroup
ProjSpaceCech.Twist.cochain.instModule
AlgebraicGeometry.FGSubalgebra.tensorStage_directedSystem
AlgebraicGeometry.RelEffCartierDiv.isClosedImmersion_subschemeι_resProdMap
AlgebraicGeometry.RelEffCartierDiv.isOpenImmersion_resProdMap
AlgebraicGeometry.SquareZero.isLocalRing'
AlgebraicGeometry.SquareZero.isLocalRing
attribute [-simp]
AlgebraicGeometry.SmoothProperCurve.sectionBaseChange_coe_snd
AlgebraicGeometry.SmoothProperCurve.sectionBaseChange_coe_fst
AlgebraicCurve.mulAdele_apply
AlgebraicCurve.residuePairing_apply_coe
AlgebraicCurve.mem_adeleBdd
AlgebraicCurve.weilSmul_one
AlgebraicCurve.diagonalHom_apply
AlgebraicCurve.weilSmul_apply
AlgebraicCurve.adeleSpaceMul_coe
AlgebraicCurve.mulAdele_one
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.twoAffineOpenCover_U1
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.mk.injEq
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.mk.sizeOf_spec
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.twoAffineOpenCover_U0
AlgebraicGeometry.Scheme.TwoAffineOpenCover.mk.injEq
AlgebraicGeometry.Scheme.TwoAffineOpenCover.mk.sizeOf_spec
AlgebraicGeometry.Scheme.TwoAffineOpenCover.pullback_U1
AlgebraicGeometry.Scheme.TwoAffineOpenCover.pullback_U0
TwoChartCech.Sections.mk.injEq
TwoChartCech.Cover.mk.injEq
TwoChartCech.GrothendieckComplex.mk.injEq
TwoChartCech.Sections.mk.sizeOf_spec
TwoChartCech.Cover.mk.sizeOf_spec
TwoChartCech.Cover.lineBundle_r0_apply
TwoChartCech.GrothendieckComplex.mk.sizeOf_spec
TwoChartCech.Cover.lineBundle_r1_apply
CoherentBaseChange.TwoTermComplex.mk.sizeOf_spec
CoherentBaseChange.TwoTermComplex.mk.injEq
CategoryTheory.Functor.OverTotal.ofFibre_fst
CategoryTheory.Functor.overTotal_map_fst
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_J
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYoneda_toGlued_uliftYonedaGluedToSheaf
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_t'
attribute [-simp]
uliftYoneda_toGlued_uliftYonedaGluedToSheaf_assoc
attribute [-simp]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYonedaGluedToSheaf_app_toGlued
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_openCover_map
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYonedaGluedToSheaf_app_comp
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_V
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_t
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_U
attribute [-simp]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_f
AlgebraicGeometry.RelPicard.designationOfRepresentableBy_P
AlgebraicGeometry.RelPicard.designationOfRepresentableBy_toBase
AlgebraicGeometry.RelPicard.rigSection_snd
AlgebraicGeometry.RelPicard.RigidifiedLineBundle.ofInvertible_L
AlgebraicGeometry.RelPicard.rigSection_snd_assoc
AlgebraicCurve.coe_cechH0Equiv_apply
AlgebraicCurve.cechH1ToH1_mk
AlgebraicCurve.lSpaceOn_univ
AlgebraicCurve.lSpaceOn_empty
AlgebraicCurve.Place.congrEquiv_symm_apply
AlgebraicCurve.RationalFunctionField.heightOneSpectrumOfIrreducible_asIdeal
AlgebraicCurve.Place.congrRingEquiv_toValuationSubring
AlgebraicCurve.Place.congrEquiv_apply
AlgebraicCurve.Place.coe_comapSymmRingEquiv_apply
AlgebraicCurve.RationalFunctionField.deg_placeOfPoint
AlgebraicCurve.Divisor.mapRestrict_single
AlgebraicCurve.Divisor.pushforward_single
AlgebraicCurve.Place.coe_restrictInclusion
AlgebraicCurve.Place.mem_fiber
AlgebraicCurve.Place.restrict_toValuationSubring
AlgebraicCurve.Divisor.degree_pushforward
AlgebraicCurve.Place.restrictResidueMap_residue
AlgebraicCurve.Pic0.coe_pushforwardDegZeroHom
AlgebraicCurve.Pic0.coe_pullbackDegZeroHom
AlgebraicCurve.Place.placeOfPrime_toValuationSubring
AlgebraicCurve.Place.mem_fiberOver
AlgebraicCurve.Place.fiberEquiv_symm_apply
AlgebraicCurve.Place.fiberEquiv_apply
AlgebraicCurve.Place.centerHeightOneSpectrum_asIdeal
attribute [-simp]
AlgebraicCurve.Divisor.degree_pushforwardAlong
AlgebraicCurve.Pic0.coe_degZeroCorrespondence
AlgebraicCurve.Place.mem_fiberAlong
AlgebraicCurve.SemilinearAut.toRingAut_inv
AlgebraicCurve.SemilinearAut.smul_def
AlgebraicCurve.SemilinearAut.smul_single
AlgebraicCurve.SemilinearAut.smul_toValuationSubring
AlgebraicCurve.SemilinearAut.baseAut_inv
AlgebraicCurve.SemilinearAut.baseAut_ofAlgAut
AlgebraicCurve.SemilinearAut.toRingAut_ofAlgAut
AlgebraicCurve.SemilinearAut.toRingAut_one
AlgebraicCurve.SemilinearAut.deg_smul
AlgebraicCurve.SemilinearAut.degree_smul
AlgebraicCurve.SemilinearAut.coe_degZeroSMulHom
AlgebraicCurve.SemilinearAut.baseAut_mul
AlgebraicCurve.SemilinearAut.coe_smulValuationSubringEquiv_apply
AlgebraicCurve.SemilinearAut.baseAut_one
AlgebraicCurve.SemilinearAut.ofAlgAut_smul
AlgebraicCurve.SemilinearAut.coe_torsion_smul
AlgebraicCurve.SemilinearAut.toRingAut_mul
attribute [-simp]
AlgebraicCurve.RationalFunctionField.placeInfty_toValuationSubring
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeInfty
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_some
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeOfPoint
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_none
AlgebraicCurve.Divisor.evalFun_zero
AlgebraicCurve.Place.evalAt_one
AlgebraicCurve.Place.differentialCoeff_zero
AlgebraicCurve.Place.differentialCoeff_dCoord
AlgebraicCurve.TranscendenceTower.mk.sizeOf_spec
AlgebraicCurve.IntegralBasisInLSpace.mk.injEq
AlgebraicCurve.TranscendenceTower.mk.injEq
AlgebraicCurve.PoleDivisorPackage.mk.sizeOf_spec
AlgebraicCurve.IntegralBasisInLSpace.mk.sizeOf_spec
AlgebraicCurve.PoleDivisorPackage.mk.injEq
AlgebraicGeometry.RelPicard.thetaBundle_def
AlgebraicGeometry.RelPicard.picardBundle_def
AlgebraicGeometry.RelEffCartierDiv.toRelEffDivisor_ofRelEffDivisor
AlgebraicGeometry.RelEffCartierDiv.toRelEffDivisor_I
AlgebraicGeometry.mapOnProdOver_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.mk.sizeOf_spec
AlgebraicGeometry.RelEffCartierDiv.mk.injEq
AlgebraicGeometry.mapOnProdOver_snd
AlgebraicGeometry.mapOnProdOver_fst
attribute [-simp]
AlgebraicGeometry.mapOnProdOver_snd_assoc
AlgebraicGeometry.mapOnProdOver_id
AlgebraicCurve.RelEffDivisor.mk.sizeOf_spec
AlgebraicCurve.mapOnProd_fst
AlgebraicCurve.mapOnProd_fst_assoc
AlgebraicCurve.mapOnProd_snd
AlgebraicCurve.UnivDivisorPack.mk.injEq
AlgebraicCurve.RelEffDivisor.mk.injEq
AlgebraicCurve.UnivDivisorPack.mk.sizeOf_spec
AlgebraicCurve.mapOnProd_snd_assoc
AlgebraicGeometry.Scheme.Modules.exteriorPower_obj
PresheafOfModules.exteriorPower_map_ιMulti
PresheafOfModules.ExteriorPower.appₗ_apply
AlgebraicGeometry.prodKerGraph_one
AlgebraicGeometry.fibrePowOver.proj_comp
AlgebraicGeometry.prodKerGraph_zero
AlgebraicGeometry.RelEffCartierDiv.empty_I
AlgebraicGeometry.fibrePowOver.proj_comp_assoc
AlgebraicGeometry.graphOver_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.toPoint_comp
AlgebraicGeometry.RelEffCartierDiv.toPoint_comp_assoc
AlgebraicGeometry.graphOver_fst
AlgebraicGeometry.RelEffCartierDiv.ofPoint_I
AlgebraicGeometry.graphOver_snd
AlgebraicGeometry.graphOver_snd_assoc
AlgebraicCurve.SymmetricPowerPackage.mk.sizeOf_spec
AlgebraicCurve.SymmetricPowerPackage.mk.injEq
AlgebraicGeometry.FGSubalgebra.cocone_ι_app_apply
AlgebraicGeometry.RelPicard.fst_toProdSpec
AlgebraicGeometry.RelPicard.toProdSpec_fst_assoc
AlgebraicGeometry.RelPicard.pointsSubBasepointModule_cons
AlgebraicGeometry.RelPicard.pointsSubBasepointModule_nil
AlgebraicGeometry.RelPicard.fst_toProdSpec_assoc
AlgebraicGeometry.RelPicard.toProdSpec_fst
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.sub_app
AlgebraicGeometry.Scheme.IdealSheafData.sres_sresTop
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.add_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.mk.sizeOf_spec
AlgebraicGeometry.Scheme.IdealSheafData.coe_resLE
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.smul_app
attribute [-simp]
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.coe_ofLE_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.ideal_range
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.zero_app
AlgebraicGeometry.Scheme.IdealSheafData.sres_sres
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.comp_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.neg_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.id_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.coe_mulRight_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.nsmul_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.mk.injEq
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.zsmul_app
AlgebraicCurve.Place.CanonicalLocalResidueDataK.mk.sizeOf_spec
AlgebraicCurve.Place.CanonicalLocalResidueDataK.mk.injEq
AlgebraicCurve.adeleSingle_coe
AlgebraicCurve.kaehlerResidueTermKFam_apply
AlgebraicCurve.Place.LocalResidueData.mk.injEq
AlgebraicCurve.Place.LocalResidueData.mk.sizeOf_spec
AlgebraicCurve.Place.kw_ffgc_adicCompletionComapIntegers_coe
AlgebraicCurve.Place.CanonicalLocalResidueDataS.mk.sizeOf_spec
AlgebraicCurve.Place.mem_simplePoleSubmodule
AlgebraicCurve.Place.coe_uniformizerSubring
ModularCurve.Lg37.Lg37CompletionSection.mk.injEq
AlgebraicCurve.Place.CoefficientFieldSection.mk.injEq
AlgebraicCurve.Place.CanonicalLocalResidueDataS.mk.injEq
ModularCurve.Lg37.Lg37CompletionSection.mk.sizeOf_spec
AlgebraicCurve.Place.CoefficientFieldSection.mk.sizeOf_spec
AlgebraicCurve.Place.poleSubmodule_one
AlgebraicCurve.Place.mem_poleSubmodule
AlgebraicGeometry.Scheme.Modules.toUnitSection_ofUnitSection
AlgebraicGeometry.Scheme.Modules.pullbackSection_def
AlgebraicGeometry.Scheme.Modules.ofUnitSection_toUnitSection
PresheafOfModules.InternalHom.IsSheafAux.appAt_toPresheafHom
SheafOfModules.ihomSectionsEquivFamily_unit
AlgebraicGeometry.Scheme.Modules.restrictHomEquivFamily_apply
SheafOfModules.ihomEval_unit_app
AlgebraicGeometry.Scheme.Modules.ihomEval_zero_right
AlgebraicGeometry.Scheme.Modules.ihomEval_zero_left
AlgebraicGeometry.Scheme.Modules.homOfFamily_app_apply
SheafOfModules.unit_ihomSectionsEquivFamily
AlgebraicGeometry.Scheme.Modules.familyOfHom_app
attribute [-simp]
AlgebraicGeometry.Scheme.Modules.restrictUnitIso_hom_app_apply
AlgebraicGeometry.Scheme.Modules.restrictUnitIso_inv_app_apply
AlgebraicGeometry.Scheme.Modules.restrictHomOfFamily_app_apply
AlgebraicGeometry.Scheme.Modules.restrictHomEquivFamily_symm_apply
AlgebraicGeometry.Scheme.Modules.tensorSections_zero_right
AlgebraicGeometry.Scheme.Modules.map_unitSection
AlgebraicGeometry.Scheme.Modules.tensorSectionsBilin_apply
AlgebraicGeometry.Scheme.Modules.tensorPowSection_zero
AlgebraicGeometry.Scheme.Modules.tensorSections_zero_left
AlgebraicGeometry.Scheme.Modules.tensorPow_zero
AlgebraicGeometry.Scheme.Modules.tensorPow_succ
AlgebraicGeometry.Scheme.OrderedAffineCover.mk.injEq
AlgebraicGeometry.OModulePresheaf.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCover.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.mk.injEq
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_neg
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_zero
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_sub
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_add
AlgebraicGeometry.Scheme.OrderedAffineCover.toCoverOf_U
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.mk.injEq
AlgebraicGeometry.Scheme.OrderedAffineCover.restrict_U
AlgebraicGeometry.OModulePresheaf.Hom.mk.injEq
AlgebraicGeometry.OModulePresheaf.Hom.id_app
AlgebraicGeometry.OModulePresheaf.AffHom.appSections_apply
AlgebraicGeometry.OModulePresheaf.AffHom.comp_app
AlgebraicGeometry.OModulePresheaf.AffSES.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.AffHom.kerMap_coe
AlgebraicGeometry.OModulePresheaf.AffHom.id_app
AlgebraicGeometry.OModulePresheaf.Hom.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.Hom.toAffHom_app
AlgebraicGeometry.OModulePresheaf.SES.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.AffHom.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.Hom.comp_app
AlgebraicGeometry.OModulePresheaf.SES.mk.injEq
AlgebraicGeometry.OModulePresheaf.AffHom.mk.injEq
AlgebraicGeometry.OModulePresheaf.Hom.appSections_apply
AlgebraicGeometry.OModulePresheaf.AffSES.mk.injEq
AlgebraicGeometry.OModulePresheaf.prod_obj
attribute [-simp]
AlgebraicGeometry.OModulePresheaf.restrOpen_obj
AlgebraicGeometry.OModulePresheaf.DevissageStep.mk.injEq
AlgebraicGeometry.OModulePresheaf.pushforward_obj
AlgebraicGeometry.OModulePresheaf.im_obj
AlgebraicGeometry.OModulePresheaf.pow_obj
AlgebraicGeometry.OModulePresheaf.fstHom_app
AlgebraicGeometry.OModulePresheaf.ker_obj
AlgebraicGeometry.OModulePresheaf.coker_obj
AlgebraicGeometry.OModulePresheaf.DevissageStep.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCover.preimage_U
AlgebraicGeometry.OModulePresheaf.sndHom_app
AlgebraicGeometry.OModulePresheaf.Leray.restrictToPreimage_U
DoubleComplex.Bounded.mk.injEq
DoubleComplex.Bounded.mk.sizeOf_spec
DoubleComplex.Convergence.mk.injEq
DoubleComplex.Convergence.mk.sizeOf_spec
DoubleComplex.SubQuot.mk.sizeOf_spec
DoubleComplex.SubQuot.mk.injEq
AlgebraicGeometry.ChowDatumProj.mk.sizeOf_spec
AlgebraicGeometry.ChowDatum.mk.sizeOf_spec
AlgebraicGeometry.ChowDatumProj.mk.injEq
AlgebraicGeometry.ChowDatum.mk.injEq
ProjSpaceCech.GradedModule.mk.injEq
ProjSpaceCech.GradedModule.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Frac.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Presentation.mk.injEq
ProjSpaceCech.GradedModule.Frac.mk.injEq
ProjSpaceCech.GradedModule.Presentation.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Hom.shift_toLinearMap
ProjSpaceCech.GradedModule.Hom.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Hom.mk.injEq
TwoChartCech.Mumford.dK_apply
TwoChartCech.Mumford.ι0_apply
TwoChartCech.Mumford.ι1_apply
TwoChartCech.KerCoprod.dK_apply
TwoChartCech.KerCoprod.ι1_apply
TwoChartCech.KerCoprod.ι0_apply
AlgebraicGeometry.tilde.functorCompPullbackSpecIso_app
AlgebraicGeometry.RelPicard.LFP.stageHom_val
AlgebraicGeometry.RelPicard.BaseChange.relSubPicPresheafRestrictIso_hom_app_coe
attribute [-simp]
AlgebraicGeometry.RelPicard.BaseChange.relSubPicPresheafRestrictIso_inv_app_coe
AlgebraicGeometry.RelPicard.BaseChange.restrict_P
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_comp
AlgebraicGeometry.RelEffCartierDiv.functor_map_fst
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.homEquiv_apply
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_pullbackAlong
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.homEquiv_symm_apply
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_comp_assoc
AlgebraicGeometry.RelEffCartierDiv.supportedIn_top
AlgebraicGeometry.RelEffCartierDiv.mem_supportedIn_iff
AlgebraicGeometry.RelEffCartierDiv.supportedIn_top_eq
AlgebraicGeometry.RelEffCartierDiv.restrictAlong_extendAlong
AlgebraicGeometry.RelEffCartierDiv.extendAlong_I
AlgebraicGeometry.RelEffCartierDiv.resProdMap_snd
AlgebraicGeometry.RelEffCartierDiv.restrictAlong_I
AlgebraicGeometry.RelEffCartierDiv.extendAlong_restrictAlong
AlgebraicGeometry.RelEffCartierDiv.resProdMap_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.resProdMap_snd_assoc
AlgebraicGeometry.RelEffCartierDiv.resProdMap_fst
CoherentBaseChange.FibreH0Family.mk.sizeOf_spec
CoherentBaseChange.FibreH0Family.mk.injEq
AlgebraicGeometry.Scheme.Modules.ProjPresentation.mk.injEq
AlgebraicGeometry.Scheme.Modules.ProjPresentation.mk.sizeOf_spec
GoodReductionJacobian.RelativeGroupLaw.nsmul_zero
GoodReductionJacobian.RelativeGroupLaw.mem_torsionSubset
GoodReductionJacobian.RelativeGroupLaw.nsmul_succ
AlgebraicGeometry.TangentPoints.map_coe
AlgebraicGeometry.SquareZero.basePoint_toBase_assoc
AlgebraicGeometry.SquareZero.basePoint_toBase
AlgebraicGeometry.SquareZero.basePoint_specMap
AlgebraicGeometry.SquareZero.basePointOver_coe
AlgebraicGeometry.SquareZero.specMap_toBase_assoc
AlgebraicGeometry.SquareZero.specMapOver_coe
AlgebraicGeometry.RelPicard.TrivialModDeformations.map_coe
AlgebraicGeometry.SquareZero.specMap_toBase
AlgebraicGeometry.SquareZero.basePoint_specMap_assoc
noncomputable section
open CategoryTheory CategoryTheory.Limits AlgebraicGeometry AlgebraicGeometry.RelPicard
NeronModelInfra GoodReductionJacobian AlgebraicCurve
universe u v
namespace P2mJacDim
section Compare
variable {R : Type u} [CommRing R] {C : Scheme.{u}} {c : C ⟶ Spec (CommRingCat.of R)}
{ε : SchemeHomOver (𝟙 (Spec (CommRingCat.of R))) c} {P : SubPicCondition c ε}
{D D' : RelativePic0Designation R c}
JacobianVarieties.Picard.Proofs.PicardGenusDimension.P2mJacDim.irreducibleSpace_of_connectedSpace
Source context 38 commands
Surrounding namespaces, section variables, and local commands at this declaration.
section ProofImplementation
namespace JacobianVarieties.Picard.Proofs.PicardGenusDimension
attribute [-instance]
AlgebraicGeometry.SmoothOfRelativeDimension.fiberToSpecResidueField
AlgebraicGeometry.SmoothOfRelativeDimension.pullback_snd
AlgebraicGeometry.SmoothOfRelativeDimension.pullback_fst
AlgebraicGeometry.SmoothOfRelativeDimension.smooth_one
AlgebraicGeometry.SmoothProperCurve.isIntegral_pullback_Spec_field
AlgebraicGeometry.IsProper.fiberToSpecResidueField
TwoChartCech.Sections.M0_moduleA
TwoChartCech.Sections.M1_module
TwoChartCech.Cover.A01_algebra
TwoChartCech.Cover.A0_algebra
TwoChartCech.Cover.A1_commRing
TwoChartCech.Cover.A1_algebra
TwoChartCech.Sections.M01_module
TwoChartCech.Sections.M0_addCommGroup
TwoChartCech.Sections.M0_tower
TwoChartCech.Sections.M01_addCommGroup
TwoChartCech.Cover.A0_commRing
TwoChartCech.Sections.M1_tower
TwoChartCech.Sections.M01_moduleA
TwoChartCech.Sections.M0_module
TwoChartCech.Sections.M1_moduleA
TwoChartCech.Sections.M1_addCommGroup
TwoChartCech.Cover.A01_commRing
TwoChartCech.Sections.M01_tower
CoherentBaseChange.TwoTermComplex.C0_module
CoherentBaseChange.TwoTermComplex.C0_addCommGroup
CoherentBaseChange.TwoTermComplex.C1_module
CoherentBaseChange.TwoTermComplex.C1_addCommGroup
CoherentBaseChange.TwoTermComplex.C0_free
CoherentBaseChange.TwoTermComplex.C1_finite
CoherentBaseChange.TwoTermComplex.C0_finite
CoherentBaseChange.TwoTermComplex.C1_free
attribute [-instance]
instIsLocallyInjectiveFunUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.instIsLocallySurjectiveUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.instIsOpenImmersionToGlued
attribute [-instance]
instIsIsoSheafZariskiTopologyTypeUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.RelPicard.isOpenImmersion_toGlued
AlgebraicCurve.Place.instIsRankOneDiscreteWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.Place.instIsTrivialOnWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.instFundamentalIdentityOfSumRamificationInertia
attribute [-instance]
AlgebraicCurve.Place.instIsScalarTowerResidueFieldRestrictPushforward
AlgebraicCurve.Place.instAlgebraResidueFieldRestrictPushforward
AlgebraicCurve.Place.instIsLocalHomRestrictInclusion
AlgebraicCurve.Place.instIsPrimeCenter
AlgebraicCurve.Place.instIsFractionRingIntegralClosureAt
attribute [-instance]
instIsTorsionFreeSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
attribute [-instance]
AlgebraicCurve.Place.instIsDedekindDomainIntegralClosureAt
AlgebraicCurve.Place.instFiniteSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
AlgebraicCurve.SemilinearAut.instDistribMulActionSubtypeProdRingAutMemSubgroupPic0
AlgebraicCurve.SemilinearAut.instDistribMulActionSubtypeProdRingAutMemSubgroupDivisor
AlgebraicCurve.Pic0.instModuleZModTorsion
AlgebraicCurve.SemilinearAut.instSMulSubtypeProdRingAutMemSubgroupPlace
AlgebraicCurve.SemilinearAut.instDistribMulActionTorsion
AlgebraicCurve.SemilinearAut.instSMulSubtypeProdRingAutMemSubgroupPic0
AlgebraicCurve.SemilinearAut.instSMulTorsion
AlgebraicCurve.SemilinearAut.instMulActionSubtypeProdRingAutMemSubgroupPlace
AlgebraicCurve.SemilinearAut.instSMulCommClassZModTorsion
AlgebraicCurve.SemilinearAut.instMulSemiringActionSubtypeProdRingAutMemSubgroup
AlgebraicCurve.RationalFunctionField.instNontrivialInftyValueGroup
PresheafOfModules.ExteriorPower.instModulePresheafAb
AlgebraicGeometry.RelEffCartierDiv.subsingleton_of_degree_zero
AlgebraicGeometry.RelEffCartierDiv.isIso_subschemeIota_snd_of_degree_one
AlgebraicGeometry.isIso_ker_graphOver_subschemeIota_snd
AlgebraicGeometry.isClosedImmersion_graphOver
AlgebraicGeometry.FGSubalgebra.instIsDirectedLe
attribute [-instance]
instQuasiSeparatedSpaceCarrierCarrierCommRingCatObjOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsCofilteredOpposite
AlgebraicGeometry.FGSubalgebra.instIsAffineObjOppositeSchemeSpecDiagram
AlgebraicGeometry.FGSubalgebra.instNonempty
AlgebraicGeometry.FGSubalgebra.instNonemptySubtypeLeSubalgebraValFG
attribute [-instance]
instCompactSpaceCarrierCarrierCommRingCatObjOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsDirectedSubtypeLeSubalgebraValFG
AlgebraicGeometry.FGSubalgebra.instIsAffineHomMapOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsFiltered
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instNeg
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSMulInt
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instAddCommGroup
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instAdd
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSub
attribute [-instance]
instModuleCarrierObjOppositeOpensCarrierCarrierCommRingCatPresheafOpOpensTop
attribute [-instance]
instSMulCarrierObjOppositeOpensCarrierCarrierCommRingCatPresheafOpOpensTop
attribute [-instance]
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSMulNat
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instZero
AlgebraicCurve.instHasLocalResidue_of_hasCanonicalLocalResidueK
AlgebraicCurve.instHasCanonicalLocalResidueK_of_hasCanonicalLocalResidueKStar
AlgebraicCurve.Place.kw_ffgc_finiteDimensional_adicCompletion
AlgebraicCurve.Place.kw_ffgc_isScalarTower_integersIntegersCompletion
ModularCurve.KwF4gRRTate.instAlgebraKAdicCompletionIntegers
AlgebraicCurve.Place.kw_ffgc_continuousSMul_adicCompletionComap
AlgebraicCurve.Place.kw_ffgc_isScalarTower_integersCompletionCompletion
attribute [-instance]
instLiesOverSubtypeAdicCompletionMemValuationSubringAdicCompletionIntegersCompletionIdealAsIdeal
attribute [-instance]
AlgebraicCurve.instHasCanonicalLocalResidueK
AlgebraicCurve.Place.instAlgebra_restrictResidueField
AlgebraicCurve.Place.instIsScalarTower_restrictResidueField
AlgebraicCurve.instHasLocalResidue
AlgebraicCurve.HasSeparableResidue.of_perfectField_of_isCurveOver
AlgebraicCurve.HasSeparableResidue.of_perfectField
AlgebraicCurve.Place.instIsLocalHom_restrictSubringHom
AlgebraicCurve.instHasCanonicalLocalResidueKStar
ModularCurve.KwNo6Pin.isLocalRing_completion
SheafOfModules.isIso_ihomModelToIhom
AlgebraicGeometry.OModulePresheaf.isScalarTower
AlgebraicGeometry.Scheme.OrderedAffineCover.instLinearOrder
AlgebraicGeometry.OModulePresheaf.module
AlgebraicGeometry.Scheme.OrderedAffineCover.instFintype
AlgebraicGeometry.Scheme.OrderedAffineCover.instFintypeIdx
AlgebraicGeometry.OModulePresheaf.addCommGroup
attribute [-instance]
AlgebraicGeometry.Scheme.OrderedAffineCover.instDecidableEqIdx
AlgebraicGeometry.OModulePresheaf.moduleSections
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instDecidableEqIdx
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instFintype
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instLinearOrder
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instFintypeIdx
AlgebraicGeometry.OModulePresheaf.instSubsingletonObjZero
AlgebraicGeometry.OModulePresheaf.Leray.relAltC_scalarTower
AlgebraicGeometry.OModulePresheaf.Leray.ker_relAltd_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.relAltC_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.biC_abGrp
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.ker_relAltd_smul
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_scalarTower
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_smul
AlgebraicGeometry.OModulePresheaf.Leray.biC_module
DoubleComplex.instModuleE₂I
DoubleComplex.Bounded.modR
DoubleComplex.instModuleE₂II
DoubleComplex.instAddCommGroupE₂II
DoubleComplex.Bounded.abGrp
DoubleComplex.instAddCommGroupE₂I
AlgebraicGeometry.ChowDatum.hι_closed
AlgebraicGeometry.ChowDatumProj.hιN_closed
AlgebraicGeometry.ChowDatumProj.hp_proper
AlgebraicGeometry.ChowDatum.hp_isoU
AlgebraicGeometry.ChowDatum.hp_proper
AlgebraicGeometry.ProjSpace.algebraAway
AlgebraicGeometry.ProjSpace.instIsProperProdOverπ
AlgebraicGeometry.ChowDatumProj.hp_isoU
AlgebraicGeometry.ProjSpace.isProper_π
AlgebraicGeometry.ProjSpace.finiteType_mvPolynomial
ProjSpaceCech.GradedModule.H.module
ProjSpaceCech.GradedModule.H.addCommGroup
ProjSpaceCech.GradedModule.sec.instAdd
ProjSpaceCech.GradedModule.sec.instNeg
ProjSpaceCech.GradedModule.acg
ProjSpaceCech.GradedModule.Frac.setoid
ProjSpaceCech.GradedModule.modR
ProjSpaceCech.GradedModule.sec.instModule
attribute [-instance]
ProjSpaceCech.GradedModule.sec.instAddCommGroup
ProjSpaceCech.GradedModule.sec.instZero
ProjSpaceCech.GradedModule.Presentation.fJ
ProjSpaceCech.GradedModule.sec.instSMul
ProjSpaceCech.Twist.H.module
ProjSpaceCech.Idx.instFintype
ProjSpaceCech.Twist.H.addCommGroup
ProjSpaceCech.Idx.instDecidableEq
ProjSpaceCech.Twist.Mon.instDecidableEq
ProjSpaceCech.Twist.cochain.instAddCommGroup
ProjSpaceCech.Twist.cochain.instModule
AlgebraicGeometry.FGSubalgebra.tensorStage_directedSystem
AlgebraicGeometry.RelEffCartierDiv.isClosedImmersion_subschemeι_resProdMap
AlgebraicGeometry.RelEffCartierDiv.isOpenImmersion_resProdMap
AlgebraicGeometry.SquareZero.isLocalRing'
AlgebraicGeometry.SquareZero.isLocalRing
attribute [-simp]
AlgebraicGeometry.SmoothProperCurve.sectionBaseChange_coe_snd
AlgebraicGeometry.SmoothProperCurve.sectionBaseChange_coe_fst
AlgebraicCurve.mulAdele_apply
AlgebraicCurve.residuePairing_apply_coe
AlgebraicCurve.mem_adeleBdd
AlgebraicCurve.weilSmul_one
AlgebraicCurve.diagonalHom_apply
AlgebraicCurve.weilSmul_apply
AlgebraicCurve.adeleSpaceMul_coe
AlgebraicCurve.mulAdele_one
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.twoAffineOpenCover_U1
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.mk.injEq
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.mk.sizeOf_spec
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.twoAffineOpenCover_U0
AlgebraicGeometry.Scheme.TwoAffineOpenCover.mk.injEq
AlgebraicGeometry.Scheme.TwoAffineOpenCover.mk.sizeOf_spec
AlgebraicGeometry.Scheme.TwoAffineOpenCover.pullback_U1
AlgebraicGeometry.Scheme.TwoAffineOpenCover.pullback_U0
TwoChartCech.Sections.mk.injEq
TwoChartCech.Cover.mk.injEq
TwoChartCech.GrothendieckComplex.mk.injEq
TwoChartCech.Sections.mk.sizeOf_spec
TwoChartCech.Cover.mk.sizeOf_spec
TwoChartCech.Cover.lineBundle_r0_apply
TwoChartCech.GrothendieckComplex.mk.sizeOf_spec
TwoChartCech.Cover.lineBundle_r1_apply
CoherentBaseChange.TwoTermComplex.mk.sizeOf_spec
CoherentBaseChange.TwoTermComplex.mk.injEq
CategoryTheory.Functor.OverTotal.ofFibre_fst
CategoryTheory.Functor.overTotal_map_fst
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_J
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYoneda_toGlued_uliftYonedaGluedToSheaf
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_t'
attribute [-simp]
uliftYoneda_toGlued_uliftYonedaGluedToSheaf_assoc
attribute [-simp]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYonedaGluedToSheaf_app_toGlued
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_openCover_map
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYonedaGluedToSheaf_app_comp
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_V
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_t
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_U
attribute [-simp]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_f
AlgebraicGeometry.RelPicard.designationOfRepresentableBy_P
AlgebraicGeometry.RelPicard.designationOfRepresentableBy_toBase
AlgebraicGeometry.RelPicard.rigSection_snd
AlgebraicGeometry.RelPicard.RigidifiedLineBundle.ofInvertible_L
AlgebraicGeometry.RelPicard.rigSection_snd_assoc
AlgebraicCurve.coe_cechH0Equiv_apply
AlgebraicCurve.cechH1ToH1_mk
AlgebraicCurve.lSpaceOn_univ
AlgebraicCurve.lSpaceOn_empty
AlgebraicCurve.Place.congrEquiv_symm_apply
AlgebraicCurve.RationalFunctionField.heightOneSpectrumOfIrreducible_asIdeal
AlgebraicCurve.Place.congrRingEquiv_toValuationSubring
AlgebraicCurve.Place.congrEquiv_apply
AlgebraicCurve.Place.coe_comapSymmRingEquiv_apply
AlgebraicCurve.RationalFunctionField.deg_placeOfPoint
AlgebraicCurve.Divisor.mapRestrict_single
AlgebraicCurve.Divisor.pushforward_single
AlgebraicCurve.Place.coe_restrictInclusion
AlgebraicCurve.Place.mem_fiber
AlgebraicCurve.Place.restrict_toValuationSubring
AlgebraicCurve.Divisor.degree_pushforward
AlgebraicCurve.Place.restrictResidueMap_residue
AlgebraicCurve.Pic0.coe_pushforwardDegZeroHom
AlgebraicCurve.Pic0.coe_pullbackDegZeroHom
AlgebraicCurve.Place.placeOfPrime_toValuationSubring
AlgebraicCurve.Place.mem_fiberOver
AlgebraicCurve.Place.fiberEquiv_symm_apply
AlgebraicCurve.Place.fiberEquiv_apply
AlgebraicCurve.Place.centerHeightOneSpectrum_asIdeal
attribute [-simp]
AlgebraicCurve.Divisor.degree_pushforwardAlong
AlgebraicCurve.Pic0.coe_degZeroCorrespondence
AlgebraicCurve.Place.mem_fiberAlong
AlgebraicCurve.SemilinearAut.toRingAut_inv
AlgebraicCurve.SemilinearAut.smul_def
AlgebraicCurve.SemilinearAut.smul_single
AlgebraicCurve.SemilinearAut.smul_toValuationSubring
AlgebraicCurve.SemilinearAut.baseAut_inv
AlgebraicCurve.SemilinearAut.baseAut_ofAlgAut
AlgebraicCurve.SemilinearAut.toRingAut_ofAlgAut
AlgebraicCurve.SemilinearAut.toRingAut_one
AlgebraicCurve.SemilinearAut.deg_smul
AlgebraicCurve.SemilinearAut.degree_smul
AlgebraicCurve.SemilinearAut.coe_degZeroSMulHom
AlgebraicCurve.SemilinearAut.baseAut_mul
AlgebraicCurve.SemilinearAut.coe_smulValuationSubringEquiv_apply
AlgebraicCurve.SemilinearAut.baseAut_one
AlgebraicCurve.SemilinearAut.ofAlgAut_smul
AlgebraicCurve.SemilinearAut.coe_torsion_smul
AlgebraicCurve.SemilinearAut.toRingAut_mul
attribute [-simp]
AlgebraicCurve.RationalFunctionField.placeInfty_toValuationSubring
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeInfty
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_some
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeOfPoint
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_none
AlgebraicCurve.Divisor.evalFun_zero
AlgebraicCurve.Place.evalAt_one
AlgebraicCurve.Place.differentialCoeff_zero
AlgebraicCurve.Place.differentialCoeff_dCoord
AlgebraicCurve.TranscendenceTower.mk.sizeOf_spec
AlgebraicCurve.IntegralBasisInLSpace.mk.injEq
AlgebraicCurve.TranscendenceTower.mk.injEq
AlgebraicCurve.PoleDivisorPackage.mk.sizeOf_spec
AlgebraicCurve.IntegralBasisInLSpace.mk.sizeOf_spec
AlgebraicCurve.PoleDivisorPackage.mk.injEq
AlgebraicGeometry.RelPicard.thetaBundle_def
AlgebraicGeometry.RelPicard.picardBundle_def
AlgebraicGeometry.RelEffCartierDiv.toRelEffDivisor_ofRelEffDivisor
AlgebraicGeometry.RelEffCartierDiv.toRelEffDivisor_I
AlgebraicGeometry.mapOnProdOver_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.mk.sizeOf_spec
AlgebraicGeometry.RelEffCartierDiv.mk.injEq
AlgebraicGeometry.mapOnProdOver_snd
AlgebraicGeometry.mapOnProdOver_fst
attribute [-simp]
AlgebraicGeometry.mapOnProdOver_snd_assoc
AlgebraicGeometry.mapOnProdOver_id
AlgebraicCurve.RelEffDivisor.mk.sizeOf_spec
AlgebraicCurve.mapOnProd_fst
AlgebraicCurve.mapOnProd_fst_assoc
AlgebraicCurve.mapOnProd_snd
AlgebraicCurve.UnivDivisorPack.mk.injEq
AlgebraicCurve.RelEffDivisor.mk.injEq
AlgebraicCurve.UnivDivisorPack.mk.sizeOf_spec
AlgebraicCurve.mapOnProd_snd_assoc
AlgebraicGeometry.Scheme.Modules.exteriorPower_obj
PresheafOfModules.exteriorPower_map_ιMulti
PresheafOfModules.ExteriorPower.appₗ_apply
AlgebraicGeometry.prodKerGraph_one
AlgebraicGeometry.fibrePowOver.proj_comp
AlgebraicGeometry.prodKerGraph_zero
AlgebraicGeometry.RelEffCartierDiv.empty_I
AlgebraicGeometry.fibrePowOver.proj_comp_assoc
AlgebraicGeometry.graphOver_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.toPoint_comp
AlgebraicGeometry.RelEffCartierDiv.toPoint_comp_assoc
AlgebraicGeometry.graphOver_fst
AlgebraicGeometry.RelEffCartierDiv.ofPoint_I
AlgebraicGeometry.graphOver_snd
AlgebraicGeometry.graphOver_snd_assoc
AlgebraicCurve.SymmetricPowerPackage.mk.sizeOf_spec
AlgebraicCurve.SymmetricPowerPackage.mk.injEq
AlgebraicGeometry.FGSubalgebra.cocone_ι_app_apply
AlgebraicGeometry.RelPicard.fst_toProdSpec
AlgebraicGeometry.RelPicard.toProdSpec_fst_assoc
AlgebraicGeometry.RelPicard.pointsSubBasepointModule_cons
AlgebraicGeometry.RelPicard.pointsSubBasepointModule_nil
AlgebraicGeometry.RelPicard.fst_toProdSpec_assoc
AlgebraicGeometry.RelPicard.toProdSpec_fst
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.sub_app
AlgebraicGeometry.Scheme.IdealSheafData.sres_sresTop
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.add_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.mk.sizeOf_spec
AlgebraicGeometry.Scheme.IdealSheafData.coe_resLE
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.smul_app
attribute [-simp]
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.coe_ofLE_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.ideal_range
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.zero_app
AlgebraicGeometry.Scheme.IdealSheafData.sres_sres
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.comp_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.neg_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.id_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.coe_mulRight_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.nsmul_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.mk.injEq
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.zsmul_app
AlgebraicCurve.Place.CanonicalLocalResidueDataK.mk.sizeOf_spec
AlgebraicCurve.Place.CanonicalLocalResidueDataK.mk.injEq
AlgebraicCurve.adeleSingle_coe
AlgebraicCurve.kaehlerResidueTermKFam_apply
AlgebraicCurve.Place.LocalResidueData.mk.injEq
AlgebraicCurve.Place.LocalResidueData.mk.sizeOf_spec
AlgebraicCurve.Place.kw_ffgc_adicCompletionComapIntegers_coe
AlgebraicCurve.Place.CanonicalLocalResidueDataS.mk.sizeOf_spec
AlgebraicCurve.Place.mem_simplePoleSubmodule
AlgebraicCurve.Place.coe_uniformizerSubring
ModularCurve.Lg37.Lg37CompletionSection.mk.injEq
AlgebraicCurve.Place.CoefficientFieldSection.mk.injEq
AlgebraicCurve.Place.CanonicalLocalResidueDataS.mk.injEq
ModularCurve.Lg37.Lg37CompletionSection.mk.sizeOf_spec
AlgebraicCurve.Place.CoefficientFieldSection.mk.sizeOf_spec
AlgebraicCurve.Place.poleSubmodule_one
AlgebraicCurve.Place.mem_poleSubmodule
AlgebraicGeometry.Scheme.Modules.toUnitSection_ofUnitSection
AlgebraicGeometry.Scheme.Modules.pullbackSection_def
AlgebraicGeometry.Scheme.Modules.ofUnitSection_toUnitSection
PresheafOfModules.InternalHom.IsSheafAux.appAt_toPresheafHom
SheafOfModules.ihomSectionsEquivFamily_unit
AlgebraicGeometry.Scheme.Modules.restrictHomEquivFamily_apply
SheafOfModules.ihomEval_unit_app
AlgebraicGeometry.Scheme.Modules.ihomEval_zero_right
AlgebraicGeometry.Scheme.Modules.ihomEval_zero_left
AlgebraicGeometry.Scheme.Modules.homOfFamily_app_apply
SheafOfModules.unit_ihomSectionsEquivFamily
AlgebraicGeometry.Scheme.Modules.familyOfHom_app
attribute [-simp]
AlgebraicGeometry.Scheme.Modules.restrictUnitIso_hom_app_apply
AlgebraicGeometry.Scheme.Modules.restrictUnitIso_inv_app_apply
AlgebraicGeometry.Scheme.Modules.restrictHomOfFamily_app_apply
AlgebraicGeometry.Scheme.Modules.restrictHomEquivFamily_symm_apply
AlgebraicGeometry.Scheme.Modules.tensorSections_zero_right
AlgebraicGeometry.Scheme.Modules.map_unitSection
AlgebraicGeometry.Scheme.Modules.tensorSectionsBilin_apply
AlgebraicGeometry.Scheme.Modules.tensorPowSection_zero
AlgebraicGeometry.Scheme.Modules.tensorSections_zero_left
AlgebraicGeometry.Scheme.Modules.tensorPow_zero
AlgebraicGeometry.Scheme.Modules.tensorPow_succ
AlgebraicGeometry.Scheme.OrderedAffineCover.mk.injEq
AlgebraicGeometry.OModulePresheaf.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCover.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.mk.injEq
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_neg
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_zero
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_sub
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_add
AlgebraicGeometry.Scheme.OrderedAffineCover.toCoverOf_U
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.mk.injEq
AlgebraicGeometry.Scheme.OrderedAffineCover.restrict_U
AlgebraicGeometry.OModulePresheaf.Hom.mk.injEq
AlgebraicGeometry.OModulePresheaf.Hom.id_app
AlgebraicGeometry.OModulePresheaf.AffHom.appSections_apply
AlgebraicGeometry.OModulePresheaf.AffHom.comp_app
AlgebraicGeometry.OModulePresheaf.AffSES.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.AffHom.kerMap_coe
AlgebraicGeometry.OModulePresheaf.AffHom.id_app
AlgebraicGeometry.OModulePresheaf.Hom.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.Hom.toAffHom_app
AlgebraicGeometry.OModulePresheaf.SES.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.AffHom.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.Hom.comp_app
AlgebraicGeometry.OModulePresheaf.SES.mk.injEq
AlgebraicGeometry.OModulePresheaf.AffHom.mk.injEq
AlgebraicGeometry.OModulePresheaf.Hom.appSections_apply
AlgebraicGeometry.OModulePresheaf.AffSES.mk.injEq
AlgebraicGeometry.OModulePresheaf.prod_obj
attribute [-simp]
AlgebraicGeometry.OModulePresheaf.restrOpen_obj
AlgebraicGeometry.OModulePresheaf.DevissageStep.mk.injEq
AlgebraicGeometry.OModulePresheaf.pushforward_obj
AlgebraicGeometry.OModulePresheaf.im_obj
AlgebraicGeometry.OModulePresheaf.pow_obj
AlgebraicGeometry.OModulePresheaf.fstHom_app
AlgebraicGeometry.OModulePresheaf.ker_obj
AlgebraicGeometry.OModulePresheaf.coker_obj
AlgebraicGeometry.OModulePresheaf.DevissageStep.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCover.preimage_U
AlgebraicGeometry.OModulePresheaf.sndHom_app
AlgebraicGeometry.OModulePresheaf.Leray.restrictToPreimage_U
DoubleComplex.Bounded.mk.injEq
DoubleComplex.Bounded.mk.sizeOf_spec
DoubleComplex.Convergence.mk.injEq
DoubleComplex.Convergence.mk.sizeOf_spec
DoubleComplex.SubQuot.mk.sizeOf_spec
DoubleComplex.SubQuot.mk.injEq
AlgebraicGeometry.ChowDatumProj.mk.sizeOf_spec
AlgebraicGeometry.ChowDatum.mk.sizeOf_spec
AlgebraicGeometry.ChowDatumProj.mk.injEq
AlgebraicGeometry.ChowDatum.mk.injEq
ProjSpaceCech.GradedModule.mk.injEq
ProjSpaceCech.GradedModule.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Frac.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Presentation.mk.injEq
ProjSpaceCech.GradedModule.Frac.mk.injEq
ProjSpaceCech.GradedModule.Presentation.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Hom.shift_toLinearMap
ProjSpaceCech.GradedModule.Hom.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Hom.mk.injEq
TwoChartCech.Mumford.dK_apply
TwoChartCech.Mumford.ι0_apply
TwoChartCech.Mumford.ι1_apply
TwoChartCech.KerCoprod.dK_apply
TwoChartCech.KerCoprod.ι1_apply
TwoChartCech.KerCoprod.ι0_apply
AlgebraicGeometry.tilde.functorCompPullbackSpecIso_app
AlgebraicGeometry.RelPicard.LFP.stageHom_val
AlgebraicGeometry.RelPicard.BaseChange.relSubPicPresheafRestrictIso_hom_app_coe
attribute [-simp]
AlgebraicGeometry.RelPicard.BaseChange.relSubPicPresheafRestrictIso_inv_app_coe
AlgebraicGeometry.RelPicard.BaseChange.restrict_P
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_comp
AlgebraicGeometry.RelEffCartierDiv.functor_map_fst
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.homEquiv_apply
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_pullbackAlong
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.homEquiv_symm_apply
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_comp_assoc
AlgebraicGeometry.RelEffCartierDiv.supportedIn_top
AlgebraicGeometry.RelEffCartierDiv.mem_supportedIn_iff
AlgebraicGeometry.RelEffCartierDiv.supportedIn_top_eq
AlgebraicGeometry.RelEffCartierDiv.restrictAlong_extendAlong
AlgebraicGeometry.RelEffCartierDiv.extendAlong_I
AlgebraicGeometry.RelEffCartierDiv.resProdMap_snd
AlgebraicGeometry.RelEffCartierDiv.restrictAlong_I
AlgebraicGeometry.RelEffCartierDiv.extendAlong_restrictAlong
AlgebraicGeometry.RelEffCartierDiv.resProdMap_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.resProdMap_snd_assoc
AlgebraicGeometry.RelEffCartierDiv.resProdMap_fst
CoherentBaseChange.FibreH0Family.mk.sizeOf_spec
CoherentBaseChange.FibreH0Family.mk.injEq
AlgebraicGeometry.Scheme.Modules.ProjPresentation.mk.injEq
AlgebraicGeometry.Scheme.Modules.ProjPresentation.mk.sizeOf_spec
GoodReductionJacobian.RelativeGroupLaw.nsmul_zero
GoodReductionJacobian.RelativeGroupLaw.mem_torsionSubset
GoodReductionJacobian.RelativeGroupLaw.nsmul_succ
AlgebraicGeometry.TangentPoints.map_coe
AlgebraicGeometry.SquareZero.basePoint_toBase_assoc
AlgebraicGeometry.SquareZero.basePoint_toBase
AlgebraicGeometry.SquareZero.basePoint_specMap
AlgebraicGeometry.SquareZero.basePointOver_coe
AlgebraicGeometry.SquareZero.specMap_toBase_assoc
AlgebraicGeometry.SquareZero.specMapOver_coe
AlgebraicGeometry.RelPicard.TrivialModDeformations.map_coe
AlgebraicGeometry.SquareZero.specMap_toBase
AlgebraicGeometry.SquareZero.basePoint_specMap_assoc
noncomputable section
open CategoryTheory CategoryTheory.Limits AlgebraicGeometry AlgebraicGeometry.RelPicard
NeronModelInfra GoodReductionJacobian AlgebraicCurve
universe u v
namespace P2mJacDim
JacobianVarieties.Picard.Proofs.PicardGenusDimension.P2mJacDim.main
Source context 38 commands
Surrounding namespaces, section variables, and local commands at this declaration.
section ProofImplementation
namespace JacobianVarieties.Picard.Proofs.PicardGenusDimension
attribute [-instance]
AlgebraicGeometry.SmoothOfRelativeDimension.fiberToSpecResidueField
AlgebraicGeometry.SmoothOfRelativeDimension.pullback_snd
AlgebraicGeometry.SmoothOfRelativeDimension.pullback_fst
AlgebraicGeometry.SmoothOfRelativeDimension.smooth_one
AlgebraicGeometry.SmoothProperCurve.isIntegral_pullback_Spec_field
AlgebraicGeometry.IsProper.fiberToSpecResidueField
TwoChartCech.Sections.M0_moduleA
TwoChartCech.Sections.M1_module
TwoChartCech.Cover.A01_algebra
TwoChartCech.Cover.A0_algebra
TwoChartCech.Cover.A1_commRing
TwoChartCech.Cover.A1_algebra
TwoChartCech.Sections.M01_module
TwoChartCech.Sections.M0_addCommGroup
TwoChartCech.Sections.M0_tower
TwoChartCech.Sections.M01_addCommGroup
TwoChartCech.Cover.A0_commRing
TwoChartCech.Sections.M1_tower
TwoChartCech.Sections.M01_moduleA
TwoChartCech.Sections.M0_module
TwoChartCech.Sections.M1_moduleA
TwoChartCech.Sections.M1_addCommGroup
TwoChartCech.Cover.A01_commRing
TwoChartCech.Sections.M01_tower
CoherentBaseChange.TwoTermComplex.C0_module
CoherentBaseChange.TwoTermComplex.C0_addCommGroup
CoherentBaseChange.TwoTermComplex.C1_module
CoherentBaseChange.TwoTermComplex.C1_addCommGroup
CoherentBaseChange.TwoTermComplex.C0_free
CoherentBaseChange.TwoTermComplex.C1_finite
CoherentBaseChange.TwoTermComplex.C0_finite
CoherentBaseChange.TwoTermComplex.C1_free
attribute [-instance]
instIsLocallyInjectiveFunUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.instIsLocallySurjectiveUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.instIsOpenImmersionToGlued
attribute [-instance]
instIsIsoSheafZariskiTopologyTypeUliftYonedaGluedToSheaf
attribute [-instance]
AlgebraicGeometry.RelPicard.isOpenImmersion_toGlued
AlgebraicCurve.Place.instIsRankOneDiscreteWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.Place.instIsTrivialOnWithZeroMultiplicativeIntAdicValuation
AlgebraicCurve.instFundamentalIdentityOfSumRamificationInertia
attribute [-instance]
AlgebraicCurve.Place.instIsScalarTowerResidueFieldRestrictPushforward
AlgebraicCurve.Place.instAlgebraResidueFieldRestrictPushforward
AlgebraicCurve.Place.instIsLocalHomRestrictInclusion
AlgebraicCurve.Place.instIsPrimeCenter
AlgebraicCurve.Place.instIsFractionRingIntegralClosureAt
attribute [-instance]
instIsTorsionFreeSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
attribute [-instance]
AlgebraicCurve.Place.instIsDedekindDomainIntegralClosureAt
AlgebraicCurve.Place.instFiniteSubtypeMemValuationSubringToValuationSubringIntegralClosureAt
AlgebraicCurve.SemilinearAut.instDistribMulActionSubtypeProdRingAutMemSubgroupPic0
AlgebraicCurve.SemilinearAut.instDistribMulActionSubtypeProdRingAutMemSubgroupDivisor
AlgebraicCurve.Pic0.instModuleZModTorsion
AlgebraicCurve.SemilinearAut.instSMulSubtypeProdRingAutMemSubgroupPlace
AlgebraicCurve.SemilinearAut.instDistribMulActionTorsion
AlgebraicCurve.SemilinearAut.instSMulSubtypeProdRingAutMemSubgroupPic0
AlgebraicCurve.SemilinearAut.instSMulTorsion
AlgebraicCurve.SemilinearAut.instMulActionSubtypeProdRingAutMemSubgroupPlace
AlgebraicCurve.SemilinearAut.instSMulCommClassZModTorsion
AlgebraicCurve.SemilinearAut.instMulSemiringActionSubtypeProdRingAutMemSubgroup
AlgebraicCurve.RationalFunctionField.instNontrivialInftyValueGroup
PresheafOfModules.ExteriorPower.instModulePresheafAb
AlgebraicGeometry.RelEffCartierDiv.subsingleton_of_degree_zero
AlgebraicGeometry.RelEffCartierDiv.isIso_subschemeIota_snd_of_degree_one
AlgebraicGeometry.isIso_ker_graphOver_subschemeIota_snd
AlgebraicGeometry.isClosedImmersion_graphOver
AlgebraicGeometry.FGSubalgebra.instIsDirectedLe
attribute [-instance]
instQuasiSeparatedSpaceCarrierCarrierCommRingCatObjOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsCofilteredOpposite
AlgebraicGeometry.FGSubalgebra.instIsAffineObjOppositeSchemeSpecDiagram
AlgebraicGeometry.FGSubalgebra.instNonempty
AlgebraicGeometry.FGSubalgebra.instNonemptySubtypeLeSubalgebraValFG
attribute [-instance]
instCompactSpaceCarrierCarrierCommRingCatObjOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsDirectedSubtypeLeSubalgebraValFG
AlgebraicGeometry.FGSubalgebra.instIsAffineHomMapOppositeSchemeSpecDiagram
attribute [-instance]
AlgebraicGeometry.FGSubalgebra.instIsFiltered
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instNeg
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSMulInt
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instAddCommGroup
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instAdd
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSub
attribute [-instance]
instModuleCarrierObjOppositeOpensCarrierCarrierCommRingCatPresheafOpOpensTop
attribute [-instance]
instSMulCarrierObjOppositeOpensCarrierCarrierCommRingCatPresheafOpOpensTop
attribute [-instance]
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instSMulNat
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.instZero
AlgebraicCurve.instHasLocalResidue_of_hasCanonicalLocalResidueK
AlgebraicCurve.instHasCanonicalLocalResidueK_of_hasCanonicalLocalResidueKStar
AlgebraicCurve.Place.kw_ffgc_finiteDimensional_adicCompletion
AlgebraicCurve.Place.kw_ffgc_isScalarTower_integersIntegersCompletion
ModularCurve.KwF4gRRTate.instAlgebraKAdicCompletionIntegers
AlgebraicCurve.Place.kw_ffgc_continuousSMul_adicCompletionComap
AlgebraicCurve.Place.kw_ffgc_isScalarTower_integersCompletionCompletion
attribute [-instance]
instLiesOverSubtypeAdicCompletionMemValuationSubringAdicCompletionIntegersCompletionIdealAsIdeal
attribute [-instance]
AlgebraicCurve.instHasCanonicalLocalResidueK
AlgebraicCurve.Place.instAlgebra_restrictResidueField
AlgebraicCurve.Place.instIsScalarTower_restrictResidueField
AlgebraicCurve.instHasLocalResidue
AlgebraicCurve.HasSeparableResidue.of_perfectField_of_isCurveOver
AlgebraicCurve.HasSeparableResidue.of_perfectField
AlgebraicCurve.Place.instIsLocalHom_restrictSubringHom
AlgebraicCurve.instHasCanonicalLocalResidueKStar
ModularCurve.KwNo6Pin.isLocalRing_completion
SheafOfModules.isIso_ihomModelToIhom
AlgebraicGeometry.OModulePresheaf.isScalarTower
AlgebraicGeometry.Scheme.OrderedAffineCover.instLinearOrder
AlgebraicGeometry.OModulePresheaf.module
AlgebraicGeometry.Scheme.OrderedAffineCover.instFintype
AlgebraicGeometry.Scheme.OrderedAffineCover.instFintypeIdx
AlgebraicGeometry.OModulePresheaf.addCommGroup
attribute [-instance]
AlgebraicGeometry.Scheme.OrderedAffineCover.instDecidableEqIdx
AlgebraicGeometry.OModulePresheaf.moduleSections
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instDecidableEqIdx
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instFintype
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instLinearOrder
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.instFintypeIdx
AlgebraicGeometry.OModulePresheaf.instSubsingletonObjZero
AlgebraicGeometry.OModulePresheaf.Leray.relAltC_scalarTower
AlgebraicGeometry.OModulePresheaf.Leray.ker_relAltd_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.relAltC_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.biC_abGrp
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_modΓ
AlgebraicGeometry.OModulePresheaf.Leray.ker_relAltd_smul
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_scalarTower
AlgebraicGeometry.OModulePresheaf.Leray.relAltH_smul
AlgebraicGeometry.OModulePresheaf.Leray.biC_module
DoubleComplex.instModuleE₂I
DoubleComplex.Bounded.modR
DoubleComplex.instModuleE₂II
DoubleComplex.instAddCommGroupE₂II
DoubleComplex.Bounded.abGrp
DoubleComplex.instAddCommGroupE₂I
AlgebraicGeometry.ChowDatum.hι_closed
AlgebraicGeometry.ChowDatumProj.hιN_closed
AlgebraicGeometry.ChowDatumProj.hp_proper
AlgebraicGeometry.ChowDatum.hp_isoU
AlgebraicGeometry.ChowDatum.hp_proper
AlgebraicGeometry.ProjSpace.algebraAway
AlgebraicGeometry.ProjSpace.instIsProperProdOverπ
AlgebraicGeometry.ChowDatumProj.hp_isoU
AlgebraicGeometry.ProjSpace.isProper_π
AlgebraicGeometry.ProjSpace.finiteType_mvPolynomial
ProjSpaceCech.GradedModule.H.module
ProjSpaceCech.GradedModule.H.addCommGroup
ProjSpaceCech.GradedModule.sec.instAdd
ProjSpaceCech.GradedModule.sec.instNeg
ProjSpaceCech.GradedModule.acg
ProjSpaceCech.GradedModule.Frac.setoid
ProjSpaceCech.GradedModule.modR
ProjSpaceCech.GradedModule.sec.instModule
attribute [-instance]
ProjSpaceCech.GradedModule.sec.instAddCommGroup
ProjSpaceCech.GradedModule.sec.instZero
ProjSpaceCech.GradedModule.Presentation.fJ
ProjSpaceCech.GradedModule.sec.instSMul
ProjSpaceCech.Twist.H.module
ProjSpaceCech.Idx.instFintype
ProjSpaceCech.Twist.H.addCommGroup
ProjSpaceCech.Idx.instDecidableEq
ProjSpaceCech.Twist.Mon.instDecidableEq
ProjSpaceCech.Twist.cochain.instAddCommGroup
ProjSpaceCech.Twist.cochain.instModule
AlgebraicGeometry.FGSubalgebra.tensorStage_directedSystem
AlgebraicGeometry.RelEffCartierDiv.isClosedImmersion_subschemeι_resProdMap
AlgebraicGeometry.RelEffCartierDiv.isOpenImmersion_resProdMap
AlgebraicGeometry.SquareZero.isLocalRing'
AlgebraicGeometry.SquareZero.isLocalRing
attribute [-simp]
AlgebraicGeometry.SmoothProperCurve.sectionBaseChange_coe_snd
AlgebraicGeometry.SmoothProperCurve.sectionBaseChange_coe_fst
AlgebraicCurve.mulAdele_apply
AlgebraicCurve.residuePairing_apply_coe
AlgebraicCurve.mem_adeleBdd
AlgebraicCurve.weilSmul_one
AlgebraicCurve.diagonalHom_apply
AlgebraicCurve.weilSmul_apply
AlgebraicCurve.adeleSpaceMul_coe
AlgebraicCurve.mulAdele_one
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.twoAffineOpenCover_U1
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.mk.injEq
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.mk.sizeOf_spec
AlgebraicGeometry.SmoothProperCurve.FiniteMapData.twoAffineOpenCover_U0
AlgebraicGeometry.Scheme.TwoAffineOpenCover.mk.injEq
AlgebraicGeometry.Scheme.TwoAffineOpenCover.mk.sizeOf_spec
AlgebraicGeometry.Scheme.TwoAffineOpenCover.pullback_U1
AlgebraicGeometry.Scheme.TwoAffineOpenCover.pullback_U0
TwoChartCech.Sections.mk.injEq
TwoChartCech.Cover.mk.injEq
TwoChartCech.GrothendieckComplex.mk.injEq
TwoChartCech.Sections.mk.sizeOf_spec
TwoChartCech.Cover.mk.sizeOf_spec
TwoChartCech.Cover.lineBundle_r0_apply
TwoChartCech.GrothendieckComplex.mk.sizeOf_spec
TwoChartCech.Cover.lineBundle_r1_apply
CoherentBaseChange.TwoTermComplex.mk.sizeOf_spec
CoherentBaseChange.TwoTermComplex.mk.injEq
CategoryTheory.Functor.OverTotal.ofFibre_fst
CategoryTheory.Functor.overTotal_map_fst
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_J
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYoneda_toGlued_uliftYonedaGluedToSheaf
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_t'
attribute [-simp]
uliftYoneda_toGlued_uliftYonedaGluedToSheaf_assoc
attribute [-simp]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYonedaGluedToSheaf_app_toGlued
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_openCover_map
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.uliftYonedaGluedToSheaf_app_comp
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_V
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_t
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_U
attribute [-simp]
AlgebraicGeometry.Scheme.LocalRepresentabilityULift.glueData_f
AlgebraicGeometry.RelPicard.designationOfRepresentableBy_P
AlgebraicGeometry.RelPicard.designationOfRepresentableBy_toBase
AlgebraicGeometry.RelPicard.rigSection_snd
AlgebraicGeometry.RelPicard.RigidifiedLineBundle.ofInvertible_L
AlgebraicGeometry.RelPicard.rigSection_snd_assoc
AlgebraicCurve.coe_cechH0Equiv_apply
AlgebraicCurve.cechH1ToH1_mk
AlgebraicCurve.lSpaceOn_univ
AlgebraicCurve.lSpaceOn_empty
AlgebraicCurve.Place.congrEquiv_symm_apply
AlgebraicCurve.RationalFunctionField.heightOneSpectrumOfIrreducible_asIdeal
AlgebraicCurve.Place.congrRingEquiv_toValuationSubring
AlgebraicCurve.Place.congrEquiv_apply
AlgebraicCurve.Place.coe_comapSymmRingEquiv_apply
AlgebraicCurve.RationalFunctionField.deg_placeOfPoint
AlgebraicCurve.Divisor.mapRestrict_single
AlgebraicCurve.Divisor.pushforward_single
AlgebraicCurve.Place.coe_restrictInclusion
AlgebraicCurve.Place.mem_fiber
AlgebraicCurve.Place.restrict_toValuationSubring
AlgebraicCurve.Divisor.degree_pushforward
AlgebraicCurve.Place.restrictResidueMap_residue
AlgebraicCurve.Pic0.coe_pushforwardDegZeroHom
AlgebraicCurve.Pic0.coe_pullbackDegZeroHom
AlgebraicCurve.Place.placeOfPrime_toValuationSubring
AlgebraicCurve.Place.mem_fiberOver
AlgebraicCurve.Place.fiberEquiv_symm_apply
AlgebraicCurve.Place.fiberEquiv_apply
AlgebraicCurve.Place.centerHeightOneSpectrum_asIdeal
attribute [-simp]
AlgebraicCurve.Divisor.degree_pushforwardAlong
AlgebraicCurve.Pic0.coe_degZeroCorrespondence
AlgebraicCurve.Place.mem_fiberAlong
AlgebraicCurve.SemilinearAut.toRingAut_inv
AlgebraicCurve.SemilinearAut.smul_def
AlgebraicCurve.SemilinearAut.smul_single
AlgebraicCurve.SemilinearAut.smul_toValuationSubring
AlgebraicCurve.SemilinearAut.baseAut_inv
AlgebraicCurve.SemilinearAut.baseAut_ofAlgAut
AlgebraicCurve.SemilinearAut.toRingAut_ofAlgAut
AlgebraicCurve.SemilinearAut.toRingAut_one
AlgebraicCurve.SemilinearAut.deg_smul
AlgebraicCurve.SemilinearAut.degree_smul
AlgebraicCurve.SemilinearAut.coe_degZeroSMulHom
AlgebraicCurve.SemilinearAut.baseAut_mul
AlgebraicCurve.SemilinearAut.coe_smulValuationSubringEquiv_apply
AlgebraicCurve.SemilinearAut.baseAut_one
AlgebraicCurve.SemilinearAut.ofAlgAut_smul
AlgebraicCurve.SemilinearAut.coe_torsion_smul
AlgebraicCurve.SemilinearAut.toRingAut_mul
attribute [-simp]
AlgebraicCurve.RationalFunctionField.placeInfty_toValuationSubring
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeInfty
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_some
AlgebraicCurve.RationalFunctionField.placeEquivOption_placeOfPoint
AlgebraicCurve.RationalFunctionField.placeEquivOption_symm_none
AlgebraicCurve.Divisor.evalFun_zero
AlgebraicCurve.Place.evalAt_one
AlgebraicCurve.Place.differentialCoeff_zero
AlgebraicCurve.Place.differentialCoeff_dCoord
AlgebraicCurve.TranscendenceTower.mk.sizeOf_spec
AlgebraicCurve.IntegralBasisInLSpace.mk.injEq
AlgebraicCurve.TranscendenceTower.mk.injEq
AlgebraicCurve.PoleDivisorPackage.mk.sizeOf_spec
AlgebraicCurve.IntegralBasisInLSpace.mk.sizeOf_spec
AlgebraicCurve.PoleDivisorPackage.mk.injEq
AlgebraicGeometry.RelPicard.thetaBundle_def
AlgebraicGeometry.RelPicard.picardBundle_def
AlgebraicGeometry.RelEffCartierDiv.toRelEffDivisor_ofRelEffDivisor
AlgebraicGeometry.RelEffCartierDiv.toRelEffDivisor_I
AlgebraicGeometry.mapOnProdOver_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.mk.sizeOf_spec
AlgebraicGeometry.RelEffCartierDiv.mk.injEq
AlgebraicGeometry.mapOnProdOver_snd
AlgebraicGeometry.mapOnProdOver_fst
attribute [-simp]
AlgebraicGeometry.mapOnProdOver_snd_assoc
AlgebraicGeometry.mapOnProdOver_id
AlgebraicCurve.RelEffDivisor.mk.sizeOf_spec
AlgebraicCurve.mapOnProd_fst
AlgebraicCurve.mapOnProd_fst_assoc
AlgebraicCurve.mapOnProd_snd
AlgebraicCurve.UnivDivisorPack.mk.injEq
AlgebraicCurve.RelEffDivisor.mk.injEq
AlgebraicCurve.UnivDivisorPack.mk.sizeOf_spec
AlgebraicCurve.mapOnProd_snd_assoc
AlgebraicGeometry.Scheme.Modules.exteriorPower_obj
PresheafOfModules.exteriorPower_map_ιMulti
PresheafOfModules.ExteriorPower.appₗ_apply
AlgebraicGeometry.prodKerGraph_one
AlgebraicGeometry.fibrePowOver.proj_comp
AlgebraicGeometry.prodKerGraph_zero
AlgebraicGeometry.RelEffCartierDiv.empty_I
AlgebraicGeometry.fibrePowOver.proj_comp_assoc
AlgebraicGeometry.graphOver_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.toPoint_comp
AlgebraicGeometry.RelEffCartierDiv.toPoint_comp_assoc
AlgebraicGeometry.graphOver_fst
AlgebraicGeometry.RelEffCartierDiv.ofPoint_I
AlgebraicGeometry.graphOver_snd
AlgebraicGeometry.graphOver_snd_assoc
AlgebraicCurve.SymmetricPowerPackage.mk.sizeOf_spec
AlgebraicCurve.SymmetricPowerPackage.mk.injEq
AlgebraicGeometry.FGSubalgebra.cocone_ι_app_apply
AlgebraicGeometry.RelPicard.fst_toProdSpec
AlgebraicGeometry.RelPicard.toProdSpec_fst_assoc
AlgebraicGeometry.RelPicard.pointsSubBasepointModule_cons
AlgebraicGeometry.RelPicard.pointsSubBasepointModule_nil
AlgebraicGeometry.RelPicard.fst_toProdSpec_assoc
AlgebraicGeometry.RelPicard.toProdSpec_fst
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.sub_app
AlgebraicGeometry.Scheme.IdealSheafData.sres_sresTop
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.add_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.mk.sizeOf_spec
AlgebraicGeometry.Scheme.IdealSheafData.coe_resLE
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.smul_app
attribute [-simp]
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.coe_ofLE_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.ideal_range
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.zero_app
AlgebraicGeometry.Scheme.IdealSheafData.sres_sres
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.comp_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.neg_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.id_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.coe_mulRight_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.nsmul_app
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.mk.injEq
AlgebraicGeometry.Scheme.IdealSheafData.IdealHom.zsmul_app
AlgebraicCurve.Place.CanonicalLocalResidueDataK.mk.sizeOf_spec
AlgebraicCurve.Place.CanonicalLocalResidueDataK.mk.injEq
AlgebraicCurve.adeleSingle_coe
AlgebraicCurve.kaehlerResidueTermKFam_apply
AlgebraicCurve.Place.LocalResidueData.mk.injEq
AlgebraicCurve.Place.LocalResidueData.mk.sizeOf_spec
AlgebraicCurve.Place.kw_ffgc_adicCompletionComapIntegers_coe
AlgebraicCurve.Place.CanonicalLocalResidueDataS.mk.sizeOf_spec
AlgebraicCurve.Place.mem_simplePoleSubmodule
AlgebraicCurve.Place.coe_uniformizerSubring
ModularCurve.Lg37.Lg37CompletionSection.mk.injEq
AlgebraicCurve.Place.CoefficientFieldSection.mk.injEq
AlgebraicCurve.Place.CanonicalLocalResidueDataS.mk.injEq
ModularCurve.Lg37.Lg37CompletionSection.mk.sizeOf_spec
AlgebraicCurve.Place.CoefficientFieldSection.mk.sizeOf_spec
AlgebraicCurve.Place.poleSubmodule_one
AlgebraicCurve.Place.mem_poleSubmodule
AlgebraicGeometry.Scheme.Modules.toUnitSection_ofUnitSection
AlgebraicGeometry.Scheme.Modules.pullbackSection_def
AlgebraicGeometry.Scheme.Modules.ofUnitSection_toUnitSection
PresheafOfModules.InternalHom.IsSheafAux.appAt_toPresheafHom
SheafOfModules.ihomSectionsEquivFamily_unit
AlgebraicGeometry.Scheme.Modules.restrictHomEquivFamily_apply
SheafOfModules.ihomEval_unit_app
AlgebraicGeometry.Scheme.Modules.ihomEval_zero_right
AlgebraicGeometry.Scheme.Modules.ihomEval_zero_left
AlgebraicGeometry.Scheme.Modules.homOfFamily_app_apply
SheafOfModules.unit_ihomSectionsEquivFamily
AlgebraicGeometry.Scheme.Modules.familyOfHom_app
attribute [-simp]
AlgebraicGeometry.Scheme.Modules.restrictUnitIso_hom_app_apply
AlgebraicGeometry.Scheme.Modules.restrictUnitIso_inv_app_apply
AlgebraicGeometry.Scheme.Modules.restrictHomOfFamily_app_apply
AlgebraicGeometry.Scheme.Modules.restrictHomEquivFamily_symm_apply
AlgebraicGeometry.Scheme.Modules.tensorSections_zero_right
AlgebraicGeometry.Scheme.Modules.map_unitSection
AlgebraicGeometry.Scheme.Modules.tensorSectionsBilin_apply
AlgebraicGeometry.Scheme.Modules.tensorPowSection_zero
AlgebraicGeometry.Scheme.Modules.tensorSections_zero_left
AlgebraicGeometry.Scheme.Modules.tensorPow_zero
AlgebraicGeometry.Scheme.Modules.tensorPow_succ
AlgebraicGeometry.Scheme.OrderedAffineCover.mk.injEq
AlgebraicGeometry.OModulePresheaf.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCover.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.mk.injEq
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_neg
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_zero
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_sub
AlgebraicGeometry.Scheme.Modules.pullbackLocalSection_add
AlgebraicGeometry.Scheme.OrderedAffineCover.toCoverOf_U
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCoverOf.mk.injEq
AlgebraicGeometry.Scheme.OrderedAffineCover.restrict_U
AlgebraicGeometry.OModulePresheaf.Hom.mk.injEq
AlgebraicGeometry.OModulePresheaf.Hom.id_app
AlgebraicGeometry.OModulePresheaf.AffHom.appSections_apply
AlgebraicGeometry.OModulePresheaf.AffHom.comp_app
AlgebraicGeometry.OModulePresheaf.AffSES.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.AffHom.kerMap_coe
AlgebraicGeometry.OModulePresheaf.AffHom.id_app
AlgebraicGeometry.OModulePresheaf.Hom.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.Hom.toAffHom_app
AlgebraicGeometry.OModulePresheaf.SES.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.AffHom.mk.sizeOf_spec
AlgebraicGeometry.OModulePresheaf.Hom.comp_app
AlgebraicGeometry.OModulePresheaf.SES.mk.injEq
AlgebraicGeometry.OModulePresheaf.AffHom.mk.injEq
AlgebraicGeometry.OModulePresheaf.Hom.appSections_apply
AlgebraicGeometry.OModulePresheaf.AffSES.mk.injEq
AlgebraicGeometry.OModulePresheaf.prod_obj
attribute [-simp]
AlgebraicGeometry.OModulePresheaf.restrOpen_obj
AlgebraicGeometry.OModulePresheaf.DevissageStep.mk.injEq
AlgebraicGeometry.OModulePresheaf.pushforward_obj
AlgebraicGeometry.OModulePresheaf.im_obj
AlgebraicGeometry.OModulePresheaf.pow_obj
AlgebraicGeometry.OModulePresheaf.fstHom_app
AlgebraicGeometry.OModulePresheaf.ker_obj
AlgebraicGeometry.OModulePresheaf.coker_obj
AlgebraicGeometry.OModulePresheaf.DevissageStep.mk.sizeOf_spec
AlgebraicGeometry.Scheme.OrderedAffineCover.preimage_U
AlgebraicGeometry.OModulePresheaf.sndHom_app
AlgebraicGeometry.OModulePresheaf.Leray.restrictToPreimage_U
DoubleComplex.Bounded.mk.injEq
DoubleComplex.Bounded.mk.sizeOf_spec
DoubleComplex.Convergence.mk.injEq
DoubleComplex.Convergence.mk.sizeOf_spec
DoubleComplex.SubQuot.mk.sizeOf_spec
DoubleComplex.SubQuot.mk.injEq
AlgebraicGeometry.ChowDatumProj.mk.sizeOf_spec
AlgebraicGeometry.ChowDatum.mk.sizeOf_spec
AlgebraicGeometry.ChowDatumProj.mk.injEq
AlgebraicGeometry.ChowDatum.mk.injEq
ProjSpaceCech.GradedModule.mk.injEq
ProjSpaceCech.GradedModule.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Frac.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Presentation.mk.injEq
ProjSpaceCech.GradedModule.Frac.mk.injEq
ProjSpaceCech.GradedModule.Presentation.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Hom.shift_toLinearMap
ProjSpaceCech.GradedModule.Hom.mk.sizeOf_spec
ProjSpaceCech.GradedModule.Hom.mk.injEq
TwoChartCech.Mumford.dK_apply
TwoChartCech.Mumford.ι0_apply
TwoChartCech.Mumford.ι1_apply
TwoChartCech.KerCoprod.dK_apply
TwoChartCech.KerCoprod.ι1_apply
TwoChartCech.KerCoprod.ι0_apply
AlgebraicGeometry.tilde.functorCompPullbackSpecIso_app
AlgebraicGeometry.RelPicard.LFP.stageHom_val
AlgebraicGeometry.RelPicard.BaseChange.relSubPicPresheafRestrictIso_hom_app_coe
attribute [-simp]
AlgebraicGeometry.RelPicard.BaseChange.relSubPicPresheafRestrictIso_inv_app_coe
AlgebraicGeometry.RelPicard.BaseChange.restrict_P
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_comp
AlgebraicGeometry.RelEffCartierDiv.functor_map_fst
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.homEquiv_apply
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_pullbackAlong
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.homEquiv_symm_apply
AlgebraicGeometry.RelEffCartierDiv.IsUniversal.lift_comp_assoc
AlgebraicGeometry.RelEffCartierDiv.supportedIn_top
AlgebraicGeometry.RelEffCartierDiv.mem_supportedIn_iff
AlgebraicGeometry.RelEffCartierDiv.supportedIn_top_eq
AlgebraicGeometry.RelEffCartierDiv.restrictAlong_extendAlong
AlgebraicGeometry.RelEffCartierDiv.extendAlong_I
AlgebraicGeometry.RelEffCartierDiv.resProdMap_snd
AlgebraicGeometry.RelEffCartierDiv.restrictAlong_I
AlgebraicGeometry.RelEffCartierDiv.extendAlong_restrictAlong
AlgebraicGeometry.RelEffCartierDiv.resProdMap_fst_assoc
AlgebraicGeometry.RelEffCartierDiv.resProdMap_snd_assoc
AlgebraicGeometry.RelEffCartierDiv.resProdMap_fst
CoherentBaseChange.FibreH0Family.mk.sizeOf_spec
CoherentBaseChange.FibreH0Family.mk.injEq
AlgebraicGeometry.Scheme.Modules.ProjPresentation.mk.injEq
AlgebraicGeometry.Scheme.Modules.ProjPresentation.mk.sizeOf_spec
GoodReductionJacobian.RelativeGroupLaw.nsmul_zero
GoodReductionJacobian.RelativeGroupLaw.mem_torsionSubset
GoodReductionJacobian.RelativeGroupLaw.nsmul_succ
AlgebraicGeometry.TangentPoints.map_coe
AlgebraicGeometry.SquareZero.basePoint_toBase_assoc
AlgebraicGeometry.SquareZero.basePoint_toBase
AlgebraicGeometry.SquareZero.basePoint_specMap
AlgebraicGeometry.SquareZero.basePointOver_coe
AlgebraicGeometry.SquareZero.specMap_toBase_assoc
AlgebraicGeometry.SquareZero.specMapOver_coe
AlgebraicGeometry.RelPicard.TrivialModDeformations.map_coe
AlgebraicGeometry.SquareZero.specMap_toBase
AlgebraicGeometry.SquareZero.basePoint_specMap_assoc
noncomputable section
open CategoryTheory CategoryTheory.Limits AlgebraicGeometry AlgebraicGeometry.RelPicard
NeronModelInfra GoodReductionJacobian AlgebraicCurve
universe u v
namespace P2mJacDim
AlgebraicCurve.CurveModel.smoothOfRelativeDimension_genusFF_of_representsRelSubPic
DocumentationThe representing Picard scheme is smooth of relative dimension equal to the genus.
Source context 5 commands
Surrounding namespaces, section variables, and local commands at this declaration.
section ProofImplementation
namespace AlgebraicCurve.CurveModel
open _root_.JacobianVarieties.Picard.Proofs.PicardGenusDimension
open _root_.CategoryTheory _root_.CategoryTheory.Limits _root_.AlgebraicGeometry
_root_.AlgebraicGeometry.RelPicard
_root_.NeronModelInfra _root_.GoodReductionJacobian _root_.AlgebraicCurve
universe u v