Structures · Geometry

AlgebraicGeometry.GeometricallyIntegral

We say that morphism f : X ⟶ Y is geometrically integral if for all Spec K ⟶ Y with K a field, X ×[Y] Spec K is integral.

Defined in: Mathlib.AlgebraicGeometry.Geometrically.Integral
Shape: One type argument · adds geometrically_isIntegral

Open in Mathlib docs

Extends0

Extends nothing: this is a root of the hierarchy.

Extended by0

Nothing extends this class yet.

Forgetful instances

Every AlgebraicGeometry.GeometricallyIntegral is also a

Concrete types that are instances4

CategoryTheory.Limits.pullback
AlgebraicGeometry.Scheme.Hom.fiber
AlgebraicGeometry.Scheme.Opens.toScheme
AlgebraicGeometry.AffineSpace

How is a type an instance?

Loading the hierarchy index…

Assumed by14

Ancestors4