Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.pointSmallEtale_fiber

∀ {S : AlgebraicGeometry.Scheme} {Ω : Type u} [inst : Field Ω] [inst_1 : IsSepClosed Ω]
  (s : AlgebraicGeometry.Spec (CommRingCat.of Ω) ⟶ S),
  (AlgebraicGeometry.Scheme.pointSmallEtale s).fiber =
    (AlgebraicGeometry.Scheme.Etale.forget S).comp
      (CategoryTheory.coyoneda.obj (Opposite.op (CategoryTheory.Over.mk s)))

Defined in

Mathlib.AlgebraicGeometry.Sites.EtalePoint

Cited by

0 results in Mathlib

Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldIsSepClosed