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Structures · Geometry

AlgebraicGeometry.LocallyOfFinitePresentation

A morphism of schemes f : X ⟶ Y is locally of finite presentation if for each affine U ⊆ Y and V ⊆ f ⁻¹' U, The induced map Γ(Y, U) ⟶ Γ(X, V) is of finite presentation.

Defined in
Mathlib.AlgebraicGeometry.Morphisms.FinitePresentation
Shape
One type argument · adds finitePresentation_appLE
Open in Mathlib docs

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Extended by1

Forgetful instances

Every AlgebraicGeometry.LocallyOfFinitePresentation is also a

Provided automatically by

Concrete types that are instances3

  • CategoryTheory.Limits.pullback
  • AlgebraicGeometry.Scheme.Opens.toScheme
  • AlgebraicGeometry.AffineSpace

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