Theorems · Definition · algebraic geometry
AlgebraicGeometry.AffineSpace
Type u → AlgebraicGeometry.Scheme → AlgebraicGeometry.Scheme
𝔸(n; S) is the affine n-space over S.
Note that n : Type u is an arbitrary index type (e.g. ULift.{u} (Fin m)).
- Defined in
- Mathlib.AlgebraicGeometry.AffineSpace
- Cited by
- 51 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- MvPolynomialproof · cited by 2,140
- CategoryTheory.Limits.pullbackproof · cited by 864
- AlgebraicGeometry.Specproof · cited by 626
- CategoryTheory.Limits.terminal.fromproof · cited by 77
Cited by63
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.AffineSpace.coordstatement · cited by 19
- AlgebraicGeometry.AffineSpace.mapstatement and proof · cited by 14
- AlgebraicGeometry.AffineSpace.isoOfIsAffinestatement and proof · cited by 10
- AlgebraicGeometry.AffineSpace.reindexstatement and proof · cited by 9
- AlgebraicGeometry.AffineSpace.homOfVectorstatement · cited by 9
- AlgebraicGeometry.AffineSpace.hom_extstatement and proof · cited by 8
- AlgebraicGeometry.AffineSpace.toSpecMvPolystatement · cited by 7
- AlgebraicGeometry.AffineSpace.SpecIsostatement · cited by 7
- AlgebraicGeometry.AffineSpace.map_appTop_coordstatement and proof · cited by 5
- AlgebraicGeometry.AffineSpace.map_overstatement and proof · cited by 5
- AlgebraicGeometry.AffineSpace.SpecIso_inv_overstatement and proof · cited by 4
- AlgebraicGeometry.AffineSpace.homOfVector_appTop_coordstatement and proof · cited by 4