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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.smooth_of_grpObj

∀ {K : Type u} [inst : Field K] {G : AlgebraicGeometry.Scheme} (f : G ⟶ AlgebraicGeometry.Spec (CommRingCat.of K))
  [AlgebraicGeometry.LocallyOfFiniteType f] [CategoryTheory.GrpObj (CategoryTheory.Over.mk f)]
  [AlgebraicGeometry.GeometricallyReduced f], AlgebraicGeometry.Smooth f
Defined in
Mathlib.AlgebraicGeometry.Group.Smooth
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Foundations
Depth 240 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldAlgebraicGeometry.LocallyOfFiniteTypeCategoryTheory.GrpObjAlgebraicGeometry.GeometricallyReduced
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Around this declaration

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Quiver.Hom · cited by 32603Quiver.HomField · cited by 7404FieldAlgebra.algebraMap · cited by 4706Algebra.algebraMapAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.Over · cited by 935CategoryTheory.OverCategoryTheory.Limits.pullback.snd · cited by 637pullback.sndAlgebraicGeometry.Spec · cited by 626AlgebraicGeometry.SpecAlgebraicGeometry.Spec.map · cited by 332Spec.mapCommRingCat.ofHom · cited by 259CommRingCat.ofHomCategoryTheory.Over.mk · cited by 203Over.mkCategoryTheory.GrpObj · cited by 99CategoryTheory.GrpObjAlgebraicGeometry.LocallyOfFiniteType · cited by 59AlgebraicGeometry.Locally…AlgebraicClosure · cited by 53AlgebraicClosureAlgebraicGeometry.Smooth · cited by 12AlgebraicGeometry.SmoothAlgebraicGeometry.GeometricallyReduced · cited by 8AlgebraicGeometry.Geometr…AlgebraicGeometry.smooth_of_g…CITED BYCITES

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