Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Hom.normalizationDiagramMap
{X Y : AlgebraicGeometry.Scheme} → (f : X ⟶ Y) → Y.presheaf ⟶ AlgebraicGeometry.Scheme.Hom.normalizationDiagram fThe inclusion from the structure presheaf of Y to the integral closure of Y in X.
- Defined in
- Mathlib.AlgebraicGeometry.Normalization
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- Oppositeproof · cited by 8,081
- Algebra.algebraMapproof · cited by 4,706
- TopCat.carrierproof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- Opposite.unopproof · cited by 2,231
- TopologicalSpace.Opensproof · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
Cited by8
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.toNormalization_fromNormalizationproof · cited by 6
- AlgebraicGeometry.Scheme.Hom.normalizationDesc_compproof · cited by 5
- AlgebraicGeometry.Scheme.Hom.ι_fromNormalizationstatement · cited by 4
- AlgebraicGeometry.Scheme.Hom.coequifibered_normalizationDiagramMapstatement · cited by 1
- AlgebraicGeometry.Scheme.Hom.fromNormalization_appproof · cited by 1
- AlgebraicGeometry.Scheme.Hom.ι_fromNormalization_assocstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.Hom.preservesLocalization_normalizationDiagramMapstatement · cited by 0
- AlgebraicGeometry.Scheme.Hom.normalization.hom_extproof · cited by 0