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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.fppfPrecoverage

CategoryTheory.Precoverage AlgebraicGeometry.Scheme

The fppf precoverage on the category of schemes. The covering families are jointly-surjective families of flat morphisms, locally of finite presentation.

Defined in
Mathlib.AlgebraicGeometry.Sites.Fpqc
Cited by
4 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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AlgebraicGeometry.Scheme.fppfPrecoverage_le_fpqcPrecoverage · cited by 2Scheme.fppfPrecoverage_le…AlgebraicGeometry.Scheme.zariskiPrecoverage_le_fppfPrecoverage · cited by 1Scheme.zariskiPrecoverage…AlgebraicGeometry.Scheme.fppfTopology · cited by 1Scheme.fppfTopologyAlgebraicGeometry.Scheme.Hom.singleton_mem_fppfPrecoverage · cited by 0Hom.singleton_mem_fppfPre…AlgebraicGeometry.Scheme.fppfPrecoverage_eq_inf · cited by 0Scheme.fppfPrecoverage_eq…AlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeAlgebraicGeometry.Scheme.precoverage · cited by 336Scheme.precoverageCategoryTheory.Precoverage · cited by 204CategoryTheory.PrecoverageAlgebraicGeometry.Flat · cited by 49AlgebraicGeometry.FlatAlgebraicGeometry.LocallyOfFinitePresentation · cited by 26AlgebraicGeometry.Locally…Scheme.fppfPrecoverageCITED BYCITES

Cites5

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Cited by5

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