Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.glueDataObj
{X : AlgebraicGeometry.Scheme} → X.IdealSheafData → ↑X.affineOpens → AlgebraicGeometry.SchemeSpec (𝒪ₓ(U)/I(U)), the object to be glued into the closed subscheme.
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- Set.Elemstatement and proof · cited by 7,166
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- HasQuotient.Quotientproof · cited by 2,301
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpaceproof · cited by 1,734
- AlgebraicGeometry.Scheme.Opensstatement · cited by 1,149
- AlgebraicGeometry.PresheafedSpace.presheafproof · cited by 1,104
- CommRingCat.carrierproof · cited by 1,096
- AlgebraicGeometry.Specproof · cited by 626
- AlgebraicGeometry.Scheme.affineOpensstatement and proof · cited by 220
Cited by30
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataObjιstatement · cited by 20
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataObjHomstatement · cited by 10
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataproof · cited by 8
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataObjMapstatement · cited by 5
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataObjHom_ιstatement and proof · cited by 3
- AlgebraicGeometry.Scheme.IdealSheafData.subSchemeCover_map_inclusionstatement · cited by 3
- AlgebraicGeometry.Scheme.IdealSheafData.subschemeCover_map_subschemeιstatement · cited by 3
- AlgebraicGeometry.Scheme.IdealSheafData.subSchemeCover_map_inclusion_assocstatement · cited by 2
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataT'Auxstatement · cited by 2
- AlgebraicGeometry.Scheme.IdealSheafData.opensRange_glueDataObjMapstatement and proof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.range_glueDataObjιstatement · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.range_glueDataObjι_ιstatement · cited by 1