Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.IdealSheafData.opensRange_glueDataObjMap

∀ {X : AlgebraicGeometry.Scheme} (I : X.IdealSheafData) {V : ↑X.affineOpens} (f : ↑(X.presheaf.obj (Opposite.op ↑V))),
  AlgebraicGeometry.Scheme.Hom.opensRange (I.glueDataObjMap ⋯) =
    (TopologicalSpace.Opens.map (I.glueDataObjι V).base).obj
      ((TopologicalSpace.Opens.map (↑V).ι.base).obj (X.basicOpen f))

Defined in: Mathlib.AlgebraicGeometry.IdealSheaf.Subscheme
Cited by: 1 results in Mathlib
Foundations: Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound

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AlgebraicGeometry.Scheme.IdealSheafData.ideal_le_ker_glueDataObjιproof · cited by 0