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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.Over

AlgebraicGeometry.Scheme → AlgebraicGeometry.Scheme → Type u

X.Over S is the typeclass containing the data of a structure morphism X ↘ S : X ⟶ S.

Defined in
Mathlib.AlgebraicGeometry.Over
Cited by
35 results in Mathlib
Foundations
Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Scheme.Cover.Over · cited by 23Cover.OverAlgebraicGeometry.Scheme.Hom.IsOver · cited by 19Hom.IsOverAlgebraicGeometry.Scheme.PartialMap.IsOver · cited by 11PartialMap.IsOverAlgebraicGeometry.Scheme.Hom.asOver · cited by 9Hom.asOverAlgebraicGeometry.Scheme.asOver · cited by 9Scheme.asOverAlgebraicGeometry.Scheme.asOverProp · cited by 8Scheme.asOverPropAlgebraicGeometry.Scheme.Hom.asOverProp · cited by 7Hom.asOverPropAlgebraicGeometry.Scheme.RationalMap.IsOver · cited by 5RationalMap.IsOverAlgebraicGeometry.Scheme.Cover.pullbackCoverOver · cited by 3Cover.pullbackCoverOverAlgebraicGeometry.Scheme.Cover.pullbackCoverOver' · cited by 3Cover.pullbackCoverOver'AlgebraicGeometry.Scheme.Cover.pullbackCoverOverProp · cited by 3Cover.pullbackCoverOverPr…AlgebraicGeometry.Scheme.Cover.pullbackCoverOverProp' · cited by 3Cover.pullbackCoverOverPr…AlgebraicGeometry.Scheme.RationalMap.IsOver.exists_partialMap_over · cited by 2IsOver.exists_partialMap_…AlgebraicGeometry.Scheme.PartialMap.equiv_iff_of_isSeparated_of_le · cited by 2PartialMap.equiv_iff_of_i…AlgebraicGeometry.AffineSpace.homOverEquiv · cited by 2AffineSpace.homOverEquivAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.OverClass · cited by 68CategoryTheory.OverClassScheme.OverCITED BYCITES

Cites2

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Cited by58

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