Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.preservesLocalization_normalizationDiagramMap
Deprecated since 2026-02-01Use AlgebraicGeometry.Scheme.Hom.coequifibered_normalizationDiagramMap instead.
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.QuasiCompact f] [AlgebraicGeometry.QuasiSeparated f],
CategoryTheory.NatTrans.Coequifibered
((AlgebraicGeometry.Scheme.AffineZariskiSite.toOpensFunctor Y).op.whiskerLeft
(AlgebraicGeometry.Scheme.Hom.normalizationDiagramMap f))Alias of AlgebraicGeometry.Scheme.Hom.coequifibered_normalizationDiagramMap.
- Defined in
- Mathlib.AlgebraicGeometry.Normalization
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
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- Quiver.Homstatement · cited by 32,603
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- TopCat.carrierstatement · cited by 3,184
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CommRingCatstatement · cited by 2,333
- AlgebraicGeometry.PresheafedSpace.carrierstatement · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement · cited by 1,734
- AlgebraicGeometry.Scheme.Opensstatement · cited by 1,149
- AlgebraicGeometry.PresheafedSpace.presheafstatement · cited by 1,104
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