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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.IdealSheafData.support

{X : AlgebraicGeometry.Scheme} → X.IdealSheafData → TopologicalSpace.Closeds ↥X

The support of an ideal sheaf. Also see IdealSheafData.mem_support_iff_of_mem.

Defined in
Mathlib.AlgebraicGeometry.IdealSheaf.Basic
Cited by
40 results in Mathlib
Foundations
Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
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Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Scheme.IdealSheafData.gc · cited by 8IdealSheafData.gcAlgebraicGeometry.Scheme.IdealSheafData.coe_support_inter · cited by 6IdealSheafData.coe_suppor…AlgebraicGeometry.Scheme.Hom.support_ker · cited by 6Hom.support_kerAlgebraicGeometry.Scheme.IdealSheafData.range_subschemeι · cited by 4IdealSheafData.range_subs…AlgebraicGeometry.Scheme.Hom.range_subset_ker_support · cited by 4Hom.range_subset_ker_supp…AlgebraicGeometry.Scheme.IdealSheafData.le_support_iff_le_vanishingIdeal · cited by 4IdealSheafData.le_support…AlgebraicGeometry.Scheme.IdealSheafData.support_comap · cited by 2IdealSheafData.support_co…AlgebraicGeometry.Scheme.IdealSheafData.support_eq_top_iff · cited by 2IdealSheafData.support_eq…AlgebraicGeometry.Scheme.IdealSheafData.map_vanishingIdeal · cited by 1IdealSheafData.map_vanish…AlgebraicGeometry.Scheme.IdealSheafData.coe_support_eq_eq_iInter_zeroLocus · cited by 1IdealSheafData.coe_suppor…AlgebraicGeometry.Scheme.IdealSheafData.coe_support_ofIdealTop · cited by 1IdealSheafData.coe_suppor…AlgebraicGeometry.Scheme.IdealSheafData.coe_support_vanishingIdeal · cited by 1IdealSheafData.coe_suppor…AlgebraicGeometry.Scheme.IdealSheafData.range_glueDataObjι_ι_eq_support_inter · cited by 1IdealSheafData.range_glue…AlgebraicGeometry.Scheme.IdealSheafData.support_bot · cited by 1IdealSheafData.support_botAlgebraicGeometry.Scheme.IdealSheafData.support_iSup · cited by 1IdealSheafData.support_iS…TopCat.carrier · cited by 3184TopCat.carrierAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCommRingCat · cited by 2333CommRingCatAlgebraicGeometry.PresheafedSpace.carrier · cited by 2020PresheafedSpace.carrierAlgebraicGeometry.SheafedSpace.toPresheafedSpace · cited by 1988SheafedSpace.toPresheafed…AlgebraicGeometry.LocallyRingedSpace.toSheafedSpace · cited by 1892LocallyRingedSpace.toShea…AlgebraicGeometry.Scheme.toLocallyRingedSpace · cited by 1734Scheme.toLocallyRingedSpa…AlgebraicGeometry.Scheme.IdealSheafData · cited by 192Scheme.IdealSheafDataTopologicalSpace.Closeds · cited by 168TopologicalSpace.ClosedsAlgebraicGeometry.Scheme.IdealSheafData.supportSet · cited by 9IdealSheafData.supportSetAlgebraicGeometry.Scheme.IdealSheafData.isClosed_supportSet · cited by 0IdealSheafData.isClosed_s…IdealSheafData.supportCITED BYCITES

Cites11

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Cited by42

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