Theorems · Definition · algebraic geometry
AlgebraicGeometry.Scheme.kerAdjunction
(Y : AlgebraicGeometry.Scheme) → (AlgebraicGeometry.Scheme.IdealSheafData.subschemeFunctor Y).rightOp ⊣ Y.kerFunctor
The adjunction between Y.IdealSheafData and (Over Y)ᵒᵖ given by taking kernels.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 221 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.
- Oppositestatement and proof · cited by 8,081
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- Opposite.unopproof · cited by 2,231
- Quiver.Hom.opproof · cited by 1,948
- CategoryTheory.Overstatement and proof · cited by 935
- CategoryTheory.eqToHomproof · cited by 860
- CategoryTheory.Adjunctionstatement · cited by 524
- CategoryTheory.Over.homproof · cited by 370
- CategoryTheory.Functor.rightOpstatement · cited by 214
- AlgebraicGeometry.Scheme.IdealSheafDatastatement and proof · cited by 192
- CategoryTheory.Over.homMkproof · cited by 115
- AlgebraicGeometry.Scheme.Hom.toImageproof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.kerAdjunction_counit_appstatement and proof · cited by 0
- AlgebraicGeometry.Scheme.kerAdjunction_unit_appstatement and proof · cited by 0