Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.RationalMap.fromFunctionField_ofFunctionField
∀ {X Y S : AlgebraicGeometry.Scheme} (sX : X ⟶ S) (sY : Y ⟶ S) [inst : AlgebraicGeometry.IsIntegral X]
[inst_1 : AlgebraicGeometry.LocallyOfFiniteType sY] (f : AlgebraicGeometry.Spec X.functionField ⟶ Y)
(h :
CategoryTheory.CategoryStruct.comp f sY =
CategoryTheory.CategoryStruct.comp (X.fromSpecStalk (genericPoint ↥X)) sX),
(AlgebraicGeometry.Scheme.RationalMap.ofFunctionField sX sY f h).fromFunctionField = f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
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