Theorems · Definition · algebraic geometry
Module.Grassmannian.functor
{R : Type u} →
[inst : CommRing R] →
{M : Type v} → [inst_1 : AddCommGroup M] → [Module R M] → ℕ → CategoryTheory.Functor (CommAlgCat R) (Type (max v w))The Grassmannian functor sends an R-algebra A to G(k, A ⊗[R] M; A).
- Defined in
- Mathlib.RingTheory.Grassmannian
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Functorstatement · cited by 16,252
- AddCommGroupstatement and proof · cited by 12,871
- TensorProductproof · cited by 2,545
- TypeCat.ofHomproof · cited by 389
- CommAlgCatstatement and proof · cited by 96
- CommAlgCat.carrierproof · cited by 77
- CommAlgCat.Hom.homproof · cited by 39
- Module.Grassmannianproof · cited by 11
- Module.Grassmannian.mapproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Module.Grassmannian.functor_mapstatement and proof · cited by 0
- Module.Grassmannian.functor_objstatement and proof · cited by 0