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Theorems · Theorem · algebraic geometry

AlgebraicGeometry.IsSchemeTheoreticallyDominant.isReduced

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) [AlgebraicGeometry.IsSchemeTheoreticallyDominant f]
  [AlgebraicGeometry.QuasiCompact f] [AlgebraicGeometry.IsReduced X], AlgebraicGeometry.IsReduced Y
Defined in
Mathlib.AlgebraicGeometry.Morphisms.SchemeTheoreticallyDominant
Cited by
1 results in Mathlib
Foundations
Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AlgebraicGeometry.IsSchemeTheoreticallyDominantAlgebraicGeometry.QuasiCompactAlgebraicGeometry.IsReduced
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Around this declaration

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AlgebraicGeometry.GeometricallyReduced.isReduced_of_flat_of_finite_irreducibleComponents · cited by 0GeometricallyReduced.isRe…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.Opens · cited by 1149Scheme.OpensAlgebraicGeometry.Scheme.Hom.app · cited by 176Hom.appAlgebraicGeometry.QuasiCompact · cited by 102AlgebraicGeometry.QuasiCo…AlgebraicGeometry.IsReduced · cited by 38AlgebraicGeometry.IsReduc…AlgebraicGeometry.IsSchemeTheoreticallyDominant · cited by 9AlgebraicGeometry.IsSchem…isReduced_of_injective · cited by 7isReduced_of_injectiveAlgebraicGeometry.Scheme.Hom.app_injective · cited by 1Hom.app_injectiveIsSchemeTheoreticallyDominant…CITED BYCITES

Cites10

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Cited by1

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