Theorems · Inductive type · algebraic geometry

ProjectiveSpectrum

{A : Type u_1} →
  {σ : Type u_2} →
    [inst : CommRing A] →
      [inst_1 : SetLike σ A] → [inst_2 : AddSubmonoidClass σ A] → (𝒜 : ℕ → σ) → [GradedRing 𝒜] → Type u_1

The projective spectrum of a graded commutative ring is the subtype of all homogeneous ideals that are prime and do not contain the irrelevant ideal.

Defined in

Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology

Cited by

86 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext

Assumes

CommRingSetLikeAddSubmonoidClassGradedRing