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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.AffineCover.f

{P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} →
  {S : AlgebraicGeometry.Scheme} →
    (self : AlgebraicGeometry.Scheme.AffineCover P S) → (j : self.I₀) → AlgebraicGeometry.Spec (self.X j) ⟶ S

the components map to S

Defined in
Mathlib.AlgebraicGeometry.Cover.MorphismProperty
Cited by
24 results in Mathlib
Foundations
Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

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AlgebraicGeometry.Scheme.IdealSheafData.inclusion · cited by 12IdealSheafData.inclusionAlgebraicGeometry.Scheme.Hom.finrank · cited by 11Hom.finrankAlgebraicGeometry.Scheme.Hom.finrank_comp_left_of_isIso · cited by 7Hom.finrank_comp_left_of_…AlgebraicGeometry.Scheme.IdealSheafData.subschemeObjIso · cited by 6IdealSheafData.subschemeO…AlgebraicGeometry.Scheme.IdealSheafData.subschemeι_app · cited by 5IdealSheafData.subschemeι…AlgebraicGeometry.Scheme.AffineCover.cover · cited by 5AffineCover.coverAlgebraicGeometry.Scheme.AffineOpenCover.openCover_f · cited by 5AffineOpenCover.openCover…AlgebraicGeometry.Scheme.exists_Spec_apply_eq · cited by 4Scheme.exists_Spec_apply_…AlgebraicGeometry.Scheme.IdealSheafData.subSchemeCover_map_inclusion · cited by 3IdealSheafData.subSchemeC…AlgebraicGeometry.Scheme.IdealSheafData.subschemeCover_map_subschemeι · cited by 3IdealSheafData.subschemeC…AlgebraicGeometry.Scheme.IdealSheafData.inclusion_subschemeι · cited by 3IdealSheafData.inclusion_…AlgebraicGeometry.Scheme.IdealSheafData.subSchemeCover_map_inclusion_assoc · cited by 2IdealSheafData.subSchemeC…AlgebraicGeometry.Scheme.Hom.toImageAux · cited by 2Hom.toImageAuxAlgebraicGeometry.Scheme.IdealSheafData.opensRange_subschemeCover_map · cited by 1IdealSheafData.opensRange…AlgebraicGeometry.Scheme.affineOpenCoverOfSpanRangeEqTop_f · cited by 1Scheme.affineOpenCoverOfS…Quiver.Hom · cited by 32603Quiver.HomAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…AlgebraicGeometry.Spec · cited by 626AlgebraicGeometry.SpecAlgebraicGeometry.Scheme.AffineCover.X · cited by 19AffineCover.XAlgebraicGeometry.Scheme.AffineCover.I₀ · cited by 17AffineCover.I₀AlgebraicGeometry.Scheme.AffineCover · cited by 10Scheme.AffineCoverAffineCover.fCITED BYCITES

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Cited by29

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