Theorems · Theorem · algebraic geometry

ProjectiveSpectrum.basicOpen_eq_zeroLocus_compl

∀ {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] (r : A), ↑(ProjectiveSpectrum.basicOpen 𝒜 r) = (ProjectiveSpectrum.zeroLocus 𝒜 {r})ᶜ

Defined in

Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology

Cited by

5 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingSetLikeAddSubmonoidClassGradedRing