Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.Hom.toNormalization
{X Y : AlgebraicGeometry.Scheme} →
(f : X ⟶ Y) →
[inst : AlgebraicGeometry.QuasiCompact f] →
[inst_1 : AlgebraicGeometry.QuasiSeparated f] → X ⟶ AlgebraicGeometry.Scheme.Hom.normalization fThe dominant morphism into the relative normalization.
- Defined in
- Mathlib.AlgebraicGeometry.Normalization
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
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
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpaceproof · cited by 1,734
- AlgebraicGeometry.PresheafedSpace.Hom.baseproof · cited by 1,135
- AlgebraicGeometry.PresheafedSpace.presheafproof · cited by 1,104
- CommRingCat.carrierproof · cited by 1,096
- AlgebraicGeometry.LocallyRingedSpace.Hom.toHomproof · cited by 995
Cited by30
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.normalizationCoprodIsoproof · cited by 15
- AlgebraicGeometry.Scheme.Hom.toNormalization_fromNormalizationstatement and proof · cited by 6
- AlgebraicGeometry.Scheme.Hom.normalizationPullbackproof · cited by 5
- AlgebraicGeometry.Scheme.Hom.toNormalization_normalizationDescstatement and proof · cited by 4
- AlgebraicGeometry.Scheme.Hom.ι_toNormalizationstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.Hom.ι_toNormalization_assocstatement and proof · cited by 2
- AlgebraicGeometry.IsFinite.of_isProper_of_locallyQuasiFiniteproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.toNormalization_app_preimagestatement and proof · cited by 2
- AlgebraicGeometry.Scheme.Hom.toNormalization_normalizationDesc_assocstatement and proof · cited by 2
- AlgebraicGeometry.Scheme.Hom.toNormalization_normalizationPullback_fststatement and proof · cited by 2
- AlgebraicGeometry.Scheme.Hom.normalizationPullback_sndproof · cited by 2
- AlgebraicGeometry.Scheme.Hom.inl_toNormalization_normalizationCoprodIso_invstatement and proof · cited by 1