Module

ProjSpaceCech_Twist_d_sq.lean

Nyll.SchemeTheory.Cohomology.Cech.ProjSpaceCech_Twist_d_sq
2 declarations indexed from sourceView source ↗

The square of the Cech differential for a twist on projective space is zero.

Declarations

AlgebraicCurves.Cohomology.Cech.Proofs.ProjSpaceCech_Twist_d_sq.ProjSpaceCech.Twist.d_sq
Source context 11 commands

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

section ProofImplementation
namespace AlgebraicCurves.Cohomology.Cech.Proofs.ProjSpaceCech_Twist_d_sq
universe u
noncomputable section
open Finset Function
namespace ProjSpaceCech
open _root_.ProjSpaceCech
open _root_.ProjSpaceCech
section AltCech
variable (R : Type u) [CommRing R] (n : ℕ) (d : ℤ)
open scoped _root_.ProjSpaceCech.Twist in
theorem Twist.d_sq (i : ℕ) :
    Twist.d R n d (i + 1) ∘ₗ Twist.d R n d i = 0
ProjSpaceCech.Twist.d_sq
Source context 6 commands

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

section ProofImplementation
namespace AlgebraicCurves.Cohomology.Cech.Proofs.ProjSpaceCech_Twist_d_sq
universe u
noncomputable section
open Finset Function
open _root_.AlgebraicCurves.Cohomology.Cech.Proofs in
theorem _root_.ProjSpaceCech.Twist.d_sq (R : Type u) [CommRing R] (n : ℕ) (d : ℤ) (i : ℕ) :
    ProjSpaceCech.Twist.d R n d (i + 1) ∘ₗ ProjSpaceCech.Twist.d R n d i = 0