Theorems · Definition · algebraic geometry
AlgebraicGeometry.Proj.toLocallyRingedSpace
{A : Type u_1} →
{σ : Type u_2} →
[inst : CommRing A] →
[inst_1 : SetLike σ A] →
[inst_2 : AddSubgroupClass σ A] → (𝒜 : ℕ → σ) → [GradedRing 𝒜] → AlgebraicGeometry.LocallyRingedSpaceProj of a graded ring as a LocallyRingedSpace
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 130 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.
- CommRingstatement and proof · cited by 17,173
- CommRingCatproof · cited by 2,333
- SetLikestatement and proof · cited by 1,084
- GradedRingstatement and proof · cited by 424
- AddSubgroupClassstatement and proof · cited by 240
- AlgebraicGeometry.LocallyRingedSpacestatement · cited by 205
- AlgebraicGeometry.SheafedSpaceproof · cited by 142
- AlgebraicGeometry.Proj.toSheafedSpaceproof · cited by 5
Cited by37
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Projproof · cited by 63
- AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpecstatement and proof · cited by 13
- AlgebraicGeometry.ProjIsoSpecTopComponent.toSpecstatement · cited by 9
- AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.carrierstatement and proof · cited by 5
- AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.mk_mem_carrierstatement and proof · cited by 5
- AlgebraicGeometry.ProjectiveSpectrum.Proj.awayToΓstatement · cited by 5
- AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.toFunstatement · cited by 4
- AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.toFunstatement and proof · cited by 3
- AlgebraicGeometry.ProjectiveSpectrum.Proj.toSpec_base_apply_eqstatement and proof · cited by 3
- AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.preimage_basicOpenstatement and proof · cited by 2
- AlgebraicGeometry.ProjectiveSpectrum.Proj.awayToΓ_ΓToStalkstatement and proof · cited by 2
- AlgebraicGeometry.ProjectiveSpectrum.Proj.specStalkEquivstatement · cited by 2