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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.LocallyQuasiFinite.of_fiberToSpecResidueField

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y),
  (∀ (x : ↥Y), AlgebraicGeometry.LocallyQuasiFinite (AlgebraicGeometry.Scheme.Hom.fiberToSpecResidueField f x)) →
    AlgebraicGeometry.LocallyQuasiFinite f
Defined in
Mathlib.AlgebraicGeometry.Morphisms.QuasiFinite
Cited by
2 results in Mathlib
Foundations
Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
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AlgebraicGeometry.locallyQuasiFinite_iff_isFinite_fiber · cited by 0AlgebraicGeometry.locally…AlgebraicGeometry.LocallyQuasiFinite.of_isFinite_fiberToSpecResidueField · cited by 0LocallyQuasiFinite.of_isF…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compAlgebra · cited by 11388AlgebraTop.top · cited by 9680Top.topCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.Category.assoc · cited by 6433Category.assocCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idIdeal · cited by 4748IdealAlgebra.algebraMap · cited by 4706Algebra.algebraMapSet.range · cited by 4705Set.rangeCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTopCat.carrier · cited by 3184TopCat.carrierAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeLocallyQuasiFinite.of_fiberTo…CITED BYCITES

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