Theorems · Definition · algebraic geometry

AlgebraicGeometry.Proj.affineOpenCover

{σ : Type u_1} →
  {A : Type u} →
    [inst : CommRing A] →
      [inst_1 : SetLike σ A] →
        [inst_2 : AddSubgroupClass σ A] →
          (𝒜 : ℕ → σ) → [inst_3 : GradedRing 𝒜] → (AlgebraicGeometry.Proj 𝒜).AffineOpenCover

Proj A is covered by Spec (A_f)₀ for all homogeneous elements of positive degree.

Defined in

Mathlib.AlgebraicGeometry.ProjectiveSpectrum.Basic

Cited by

4 results in Mathlib

Foundations

Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingSetLikeAddSubgroupClassGradedRing