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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.IdealSheafData.map_gc

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y), GaloisConnection (fun x => x.comap f) fun x => x.map f

Pushforward and pullback of ideal sheaves forms a Galois connection.

Defined in
Mathlib.AlgebraicGeometry.IdealSheaf.Functorial
Cited by
8 results in Mathlib
Foundations
Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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AlgebraicGeometry.Scheme.IdealSheafData.le_map_comap · cited by 2IdealSheafData.le_map_com…AlgebraicGeometry.Scheme.IdealSheafData.comap_map_le · cited by 1IdealSheafData.comap_map_…AlgebraicGeometry.Scheme.IdealSheafData.comap_mono · cited by 1IdealSheafData.comap_monoAlgebraicGeometry.Scheme.IdealSheafData.map_inf · cited by 0IdealSheafData.map_infAlgebraicGeometry.Scheme.IdealSheafData.map_mono · cited by 0IdealSheafData.map_monoAlgebraicGeometry.Scheme.IdealSheafData.map_top · cited by 0IdealSheafData.map_topAlgebraicGeometry.Scheme.IdealSheafData.comap_bot · cited by 0IdealSheafData.comap_botAlgebraicGeometry.Scheme.IdealSheafData.comap_sup · cited by 0IdealSheafData.comap_supQuiver.Hom · cited by 32603Quiver.HomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeGaloisConnection · cited by 253GaloisConnectionAlgebraicGeometry.Scheme.IdealSheafData · cited by 192Scheme.IdealSheafDataAlgebraicGeometry.Scheme.IdealSheafData.comap · cited by 23IdealSheafData.comapAlgebraicGeometry.Scheme.IdealSheafData.map · cited by 19IdealSheafData.mapAlgebraicGeometry.Scheme.IdealSheafData.le_map_iff_comap_le · cited by 2IdealSheafData.le_map_iff…IdealSheafData.map_gcCITED BYCITES

Cites7

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Cited by8

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