Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.ker_morphismRestrict_ideal

∀ {X Y : AlgebraicGeometry.Scheme} (f : X.Hom Y) [AlgebraicGeometry.QuasiCompact f] (U : Y.Opens)
  (V : ↑(↑U).affineOpens),
  (AlgebraicGeometry.Scheme.Hom.ker (f ∣_ U)).ideal V =
    f.ker.ideal ⟨(AlgebraicGeometry.Scheme.Hom.opensFunctor U.ι).obj ↑V, ⋯⟩

Defined in: Mathlib.AlgebraicGeometry.IdealSheaf.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AlgebraicGeometry.QuasiCompact

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