AlgebraicGeometry.Scheme.Hom.fiber

{X Y : AlgebraicGeometry.Scheme} → (X ⟶ Y) → ↥Y → AlgebraicGeometry.Scheme

f.fiber y is the scheme-theoretic fiber of f at y.

Defined in: Mathlib.AlgebraicGeometry.Fiber
Cited by: 30 results in Mathlib
Foundations: Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Quiver.Homstatement and proof · cited by 32,603
TopCat.carrierstatement and proof · cited by 3,184
AlgebraicGeometry.Schemestatement and proof · cited by 2,540
CommRingCatstatement · cited by 2,333
AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
CategoryTheory.Limits.pullbackproof · cited by 864
AlgebraicGeometry.Scheme.fromSpecResidueFieldproof · cited by 47

Results whose statement or proof uses this declaration.