Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.quasiFiniteLocus_comp
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) {Z : AlgebraicGeometry.Scheme}
[inst : AlgebraicGeometry.IsOpenImmersion f] (g : Y ⟶ Z) [inst_1 : AlgebraicGeometry.LocallyOfFiniteType g],
AlgebraicGeometry.Scheme.Hom.quasiFiniteLocus (CategoryTheory.CategoryStruct.comp f g) =
(TopologicalSpace.Opens.map f.base).obj (AlgebraicGeometry.Scheme.Hom.quasiFiniteLocus g)- Cited by
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- Foundations
- Depth 238 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites24
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- TopologicalSpace.Opensstatement · cited by 2,040
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- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
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