Mathlib Map

Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.Hom.toRationalMap

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

A scheme morphism as a rational map.

Defined in
Mathlib.AlgebraicGeometry.Birational.RationalMap
Cited by
3 results in Mathlib
Foundations
Depth 149 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_toRationalMap · cited by 0RationalMap.comp_toRation…AlgebraicGeometry.Scheme.RationalMap.isOver_iff · cited by 0RationalMap.isOver_iffAlgebraicGeometry.Scheme.RationalMap.equivFunctionField · cited by 0RationalMap.equivFunction…AlgebraicGeometry.Scheme.RationalMap.id_compHom · cited by 0RationalMap.id_compHomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.Hom · cited by 35Scheme.HomAlgebraicGeometry.Scheme.PartialMap.toRationalMap · cited by 26PartialMap.toRationalMapAlgebraicGeometry.Scheme.RationalMap · cited by 25Scheme.RationalMapAlgebraicGeometry.Scheme.Hom.toPartialMap · cited by 10Hom.toPartialMapHom.toRationalMapCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.