Theorems · Definition · algebraic geometry
AlgebraicGeometry.hopfSpec
(R : CommRingCat) → CategoryTheory.Functor (CommHopfAlgCat ↑R)ᵒᵖ (CategoryTheory.Grp (CategoryTheory.Over (AlgebraicGeometry.Spec R)))
Spec as a functor from R-Hopf algebras to group schemes over Spec R.
- Defined in
- Mathlib.AlgebraicGeometry.Group.Affine
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compproof · cited by 6,529
- AlgebraicGeometry.Schemestatement · cited by 2,540
- CommRingCatstatement and proof · cited by 2,333
- CategoryTheory.Equivalence.functorproof · cited by 1,268
- CommRingCat.carrierstatement and proof · cited by 1,096
- CategoryTheory.Overstatement · cited by 935
- AlgebraicGeometry.Specstatement · cited by 626
- CategoryTheory.Functor.leftOpproof · cited by 187
- CategoryTheory.Grpstatement · cited by 144
- CommHopfAlgCatstatement · cited by 38
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.hopfSpec.fullyFaithfulstatement · cited by 0
- AlgebraicGeometry.essImage_hopfSpecstatement · cited by 0