Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.IdealSheafData.glueDataObjPullback
{X : AlgebraicGeometry.Scheme} → X.IdealSheafData → ↑X.affineOpens → ↑X.affineOpens → AlgebraicGeometry.Scheme(Implementation) The intersections Spec Γ(𝒪ₓ/I, U) ∩ V useful for gluing.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemstatement and proof · cited by 7,166
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Scheme.Opensstatement · cited by 1,149
- CategoryTheory.Limits.pullbackproof · cited by 864
- AlgebraicGeometry.Scheme.affineOpensstatement and proof · cited by 220
- AlgebraicGeometry.Scheme.IdealSheafDatastatement and proof · cited by 192
- AlgebraicGeometry.Scheme.homOfLEproof · cited by 103
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataObjιproof · cited by 20
Cited by7
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataproof · cited by 8
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataT'Auxstatement · cited by 2
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataTstatement · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.glueData_Vstatement · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.glueData_tstatement · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.glueData_t'statement · cited by 0
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataT'Aux.congr_simpstatement · cited by 0