Theorems · Definition · algebraic geometry

ProjectiveSpectrum.basicOpen

{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] → A → TopologicalSpace.Opens (ProjectiveSpectrum 𝒜)

basicOpen r is the open subset containing all prime ideals not containing r.

Defined in

Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology

Cited by

48 results in Mathlib

Foundations

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

Assumes

CommRingSetLikeAddSubmonoidClassGradedRing