Module

ActualFiniteNormalizationContinuity.lean

Nyll.EtaleFundamentalGroups.Inertia.ActualFiniteNormalizationContinuity
1 declaration indexed from sourceView source ↗

Local constancy of actual finite normalization restriction

This ambient coefficient restriction is proved locally constant before the original inertia and the intrinsic finite inertia subgroups enter the scope.

Declarations

EtaleFundamentalGroups.Inertia.actualFiniteNormalizationRestriction_isLocallyConstant

The existing restriction to finite normalization coefficients factors through the locally constant finite Galois restriction.

Source context 2 commands

Surrounding namespaces, section variables, and local commands at this declaration.

namespace EtaleFundamentalGroups.Inertia
universe u v w
theorem actualFiniteNormalizationRestriction_isLocallyConstant
    (A : Type u) (K : Type v) (L : Type w)
    [CommRing A] [Field K] [Field L]
    [Algebra A K] [IsFractionRing A K]
    [Algebra K L] [Algebra A L] [IsScalarTower A K L] [IsGalois K L]
    (E : FiniteGaloisIntermediateField K L) :
    IsLocallyConstant (actualFiniteNormalizationRestriction A K L E).hom'.toFun