AlgebraicGeometry.Scheme.Hom.residueFieldMap

{X Y : AlgebraicGeometry.Scheme} → (f : X ⟶ Y) → (x : ↥X) → Y.residueField (f x) ⟶ X.residueField x

If X ⟶ Y is a morphism of locally ringed spaces and x a point of X, we obtain a morphism of residue fields in the other direction.

Defined in: Mathlib.AlgebraicGeometry.ResidueField
Cited by: 28 results in Mathlib
Foundations: Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

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

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