Mathlib Map

Structures · Geometry

AlgebraicGeometry.IsAffine

A Scheme is affine if the canonical map X ⟶ Spec Γ(X) is an isomorphism.

Defined in
Mathlib.AlgebraicGeometry.AffineScheme
Shape
One type argument · adds affine
Open in Mathlib docs

Extends0

Extends nothing: this is a root of the hierarchy.

Extended by2

Forgetful instances

Every AlgebraicGeometry.IsAffine is also a

Provided automatically by

Concrete types that are instances11

  • CategoryTheory.Functor.obj
  • CategoryTheory.Limits.pullback
  • AlgebraicGeometry.Scheme.Hom.fiber
  • CategoryTheory.Limits.terminal
  • AlgebraicGeometry.Scheme.Opens.toScheme
  • CategoryTheory.ObjectProperty.FullSubcategory.obj
  • AlgebraicGeometry.Spec
  • CategoryTheory.PreZeroHypercover.X
  • AlgebraicGeometry.AffineSpace
  • CategoryTheory.Limits.coprod
  • CategoryTheory.Limits.sigmaObj

How is a type an instance?

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Assumed by126

Ancestors10