Theorems · Definition · algebraic geometry

ProjectiveSpectrum.top

{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] → TopCat

The underlying topology of Proj is the projective spectrum of graded ring A.

Defined in

Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology

Cited by

32 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingSetLikeAddSubmonoidClassGradedRing