Theorems · Definition · algebraic geometry
AlgebraicGeometry.AffineSpace.toSpecMvPoly
(n : Type u) →
(S : AlgebraicGeometry.Scheme) →
AlgebraicGeometry.AffineSpace n S ⟶ AlgebraicGeometry.Spec (CommRingCat.of (MvPolynomial n (ULift.{u, 0} ℤ)))The map from the affine n-space over S to the integral model Spec ℤ[n].
- Defined in
- Mathlib.AlgebraicGeometry.AffineSpace
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Finsuppstatement · cited by 5,255
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- MvPolynomialstatement and proof · cited by 2,140
- CategoryTheory.Limits.pullback.sndproof · cited by 637
- AlgebraicGeometry.Specstatement and proof · cited by 626
- CategoryTheory.Limits.terminal.fromproof · cited by 77
- AlgebraicGeometry.AffineSpacestatement · cited by 51
Cited by8
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.AffineSpace.coordproof · cited by 19
- AlgebraicGeometry.AffineSpace.hom_extproof · cited by 8
- AlgebraicGeometry.AffineSpace.homOfVector_appTop_coordproof · cited by 4
- AlgebraicGeometry.AffineSpace.isPullback_mapproof · cited by 2
- AlgebraicGeometry.AffineSpace.homOfVector_toSpecMvPolystatement · cited by 2
- AlgebraicGeometry.AffineSpace.map_toSpecMvPolystatement and proof · cited by 2
- AlgebraicGeometry.AffineSpace.homOfVector_toSpecMvPoly_assocstatement and proof · cited by 0
- AlgebraicGeometry.AffineSpace.map_toSpecMvPoly_assocstatement and proof · cited by 0