Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.RationalMap
AlgebraicGeometry.Scheme → AlgebraicGeometry.Scheme → Type u
A rational map from X to Y (X ⤏ Y) is an equivalence class of partial maps,
where two partial maps are equivalent if they are equal on a dense open subscheme.
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
Cited by45
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.PartialMap.toRationalMapstatement · cited by 26
- AlgebraicGeometry.Scheme.RationalMap.IsDominantstatement · cited by 8
- AlgebraicGeometry.Scheme.PartialMap.toRationalMap_eq_iffstatement · cited by 7
- AlgebraicGeometry.Scheme.RationalMap.compstatement and proof · cited by 7
- AlgebraicGeometry.Scheme.RationalMap.representativestatement and proof · cited by 7
- AlgebraicGeometry.Scheme.RationalMap.IsOverstatement · cited by 5
- AlgebraicGeometry.Scheme.RationalMap.toRationalMap_representativestatement and proof · cited by 5
- AlgebraicGeometry.Scheme.RationalMap.compHomstatement and proof · cited by 4
- AlgebraicGeometry.Scheme.Hom.toRationalMapstatement · cited by 3
- AlgebraicGeometry.Scheme.RationalMap.domainstatement and proof · cited by 3
- AlgebraicGeometry.Scheme.RationalMap.fromFunctionFieldstatement and proof · cited by 3
- AlgebraicGeometry.Scheme.RationalMap.idstatement · cited by 3