Theorems · Theorem · algebraic geometry

ProjectiveSpectrum.coe_vanishingIdeal

∀ {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] (t : Set (ProjectiveSpectrum 𝒜)),
  ↑(ProjectiveSpectrum.vanishingIdeal t) = {f | ∀ x ∈ t, f ∈ x.asHomogeneousIdeal}

Defined in

Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Topology

Cited by

1 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingSetLikeAddSubmonoidClassGradedRing