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Theorems · Inductive type · algebraic geometry

AlgebraicGeometry.Scheme.RationalMap.IsDominant

{X Y : AlgebraicGeometry.Scheme} → X.RationalMap Y → Prop

A rational map is dominant if some (equivalently, any) representative partial map has dominant underlying morphism.

Defined in
Mathlib.AlgebraicGeometry.Birational.Dominant
Cited by
8 results in Mathlib
Foundations
Depth 148 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.RationalMap.comp · cited by 7RationalMap.compAlgebraicGeometry.Scheme.RationalMap.comp_def · cited by 2RationalMap.comp_defAlgebraicGeometry.Scheme.RationalMap.isDominant_iff · cited by 1RationalMap.isDominant_iffAlgebraicGeometry.Scheme.RationalMap.IsDominant.casesOn · cited by 1IsDominant.casesOnAlgebraicGeometry.Scheme.PartialMap.isDominant_toRationalMap_iff · cited by 0PartialMap.isDominant_toR…AlgebraicGeometry.Scheme.RationalMap.comp_assoc · cited by 0RationalMap.comp_assocAlgebraicGeometry.Scheme.RationalMap.comp_id · cited by 0RationalMap.comp_idAlgebraicGeometry.Scheme.RationalMap.comp_toRationalMap · cited by 0RationalMap.comp_toRation…AlgebraicGeometry.Scheme.RationalMap.IsDominant.out · cited by 0IsDominant.outAlgebraicGeometry.Scheme.RationalMap.IsDominant.recOn · cited by 0IsDominant.recOnAlgebraicGeometry.Scheme.RationalMap.comp.congr_simp · cited by 0comp.congr_simpAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.RationalMap · cited by 25Scheme.RationalMapRationalMap.IsDominantCITED BYCITES

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Cited by11

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