Theorems · Definition · algebraic geometry
ProjectiveSpectrum.asHomogeneousIdeal
{A : Type u_1} →
{σ : Type u_2} →
[inst : CommRing A] →
[inst_1 : SetLike σ A] →
[inst_2 : AddSubmonoidClass σ A] →
{𝒜 : ℕ → σ} → [inst_3 : GradedRing 𝒜] → ProjectiveSpectrum 𝒜 → HomogeneousIdeal 𝒜- Cited by
- 61 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- SetLikestatement and proof · cited by 1,084
- GradedRingstatement and proof · cited by 424
- AddSubmonoidClassstatement and proof · cited by 346
- HomogeneousIdealstatement · cited by 115
- ProjectiveSpectrumstatement and proof · cited by 86
Cited by78
Results whose statement or proof uses this declaration.
- ProjectiveSpectrum.basicOpenproof · cited by 48
- ProjectiveSpectrum.zeroLocusproof · cited by 42
- AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.isLocallyFractionstatement · cited by 20
- ProjectiveSpectrum.vanishingIdealproof · cited by 20
- AlgebraicGeometry.Proj.stalkIso'statement and proof · cited by 7
- AlgebraicGeometry.sectionInBasicOpenstatement and proof · cited by 6
- AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.mk_mem_carrierstatement and proof · cited by 5
- AlgebraicGeometry.ProjIsoSpecTopComponent.ToSpec.carrierproof · cited by 5
- AlgebraicGeometry.mem_basicOpen_denstatement and proof · cited by 5
- AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf.isFractionPrelocalstatement and proof · cited by 5
- AlgebraicGeometry.stalkToFiberRingHomstatement and proof · cited by 4
- ProjectiveSpectrum.mem_zeroLocusstatement · cited by 4