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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.AffineEtale

AlgebraicGeometry.Scheme → Type (u + 1)

The small affine étale site: The category of affine schemes étale over S, whose objects are commutative rings R with an étale structure morphism Spec R ⟶ S.

Defined in
Mathlib.AlgebraicGeometry.Sites.AffineEtale
Cited by
4 results in Mathlib
Foundations
Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Scheme.AffineEtale.Spec · cited by 4AffineEtale.SpecAlgebraicGeometry.Scheme.AffineEtale.mk · cited by 3AffineEtale.mkAlgebraicGeometry.Scheme.AffineEtale.sheafEquiv · cited by 1AffineEtale.sheafEquivAlgebraicGeometry.Scheme.AffineEtale.topology · cited by 1AffineEtale.topologyAlgebraicGeometry.Scheme.AffineEtale.Spec_map_left · cited by 0AffineEtale.Spec_map_leftAlgebraicGeometry.Scheme.AffineEtale.Spec_obj_hom · cited by 0AffineEtale.Spec_obj_homAlgebraicGeometry.Scheme.AffineEtale.Spec_obj_left · cited by 0AffineEtale.Spec_obj_leftAlgebraicGeometry.Scheme.AffineEtale.sheafEquiv_inverse · cited by 0AffineEtale.sheafEquiv_in…Top.top · cited by 9680Top.topAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.Spec · cited by 57Scheme.SpecAlgebraicGeometry.Etale · cited by 27AlgebraicGeometry.EtaleCategoryTheory.MorphismProperty.CostructuredArrow · cited by 12MorphismProperty.Costruct…Scheme.AffineEtaleCITED BYCITES

Cites5

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Cited by8

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