Structures · Geometry
AlgebraicGeometry.IsSeparated
A morphism is separated if the diagonal map is a closed immersion.
- Shape
- One type argument · adds isClosedImmersion_diagonal
Extends0
Extends nothing: this is a root of the hierarchy.
Extended by4
Forgetful instances
Every AlgebraicGeometry.IsSeparated is also a
Provided automatically by
Concrete types that are instances4
- CategoryTheory.Limits.pullback
- AlgebraicGeometry.Scheme.Opens.toScheme
- AlgebraicGeometry.Spec
- AlgebraicGeometry.Proj
How is a type an instance?
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Assumed by34
- AlgebraicGeometry.ext_of_isDominant_of_isSeparated
- AlgebraicGeometry.IsProper.of_comp
- AlgebraicGeometry.IsClosedImmersion.of_comp
- AlgebraicGeometry.IsAffineHom.of_comp
- AlgebraicGeometry.Scheme.PartialMap.equiv_iff_of_isSeparated_of_le
- AlgebraicGeometry.IsFinite.of_comp
- AlgebraicGeometry.Scheme.Hom.exists_isIso_morphismRestrict_toNormalization
- AlgebraicGeometry.Scheme.PartialMap.equiv_iff_of_isSeparated
- AlgebraicGeometry.ext_of_isDominant_of_isSeparated'
- AlgebraicGeometry.Scheme.PartialMap.equiv_iff_of_domain_eq_of_isSeparated
- AlgebraicGeometry.IsSeparated.of_comp
- AlgebraicGeometry.exists_finite_imageι_comp_morphismRestrict_of_finite_image_preimage
- AlgebraicGeometry.exists_etale_isCompl_of_quasiFiniteAt
- AlgebraicGeometry.UniversallyClosed.of_comp_of_isSeparated
- AlgebraicGeometry.Scheme.Hom.exists_mem_and_isIso_morphismRestrict_toNormalization
- AlgebraicGeometry.IsIntegralHom.of_comp
- AlgebraicGeometry.IsSeparated.valuativeCriterion
- AlgebraicGeometry.ext_of_fromSpecResidueField_eq
- AlgebraicGeometry.ext_of_apply_eq
- AlgebraicGeometry.Scheme.PartialMap.equiv_toPartialMap_iff_of_isSeparated
- AlgebraicGeometry.IsSeparated.instIsClosedImmersionMapDescScheme
- AlgebraicGeometry.instIsOpenImmersionToNormalizationOfLocallyQuasiFiniteOfLocallyOfFiniteType
- AlgebraicGeometry.IsSeparated.comp_iff
- AlgebraicGeometry.IsSeparated.instMorphismRestrict
- AlgebraicGeometry.IsSeparated.instQuasiSeparated
- AlgebraicGeometry.IsSeparated.isClosedImmersion_diagonal
- AlgebraicGeometry.IsSeparated.diagonal_isClosedImmersion
- AlgebraicGeometry.IsSeparated.instSndScheme
- AlgebraicGeometry.IsSeparated.instCompScheme
- AlgebraicGeometry.isClosedImmersion_equalizer_ι_left
- AlgebraicGeometry.IsSeparated.instFstScheme
- AlgebraicGeometry.IsSeparated.instResLE
- AlgebraicGeometry.IsSeparated.instIsClosedImmersionLiftSchemeId
- AlgebraicGeometry.instIsOpenImmersionCompSchemeιQuasiFiniteLocusToNormalization