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- Quasi-separated_morphism abstract "In algebraic geometry, a morphism of schemes f from X to Y is called quasi-separated if the diagonal map from X to X×YX is quasi-compact (meaning that the inverse image of any quasi-compact open set is quasi compact). A scheme X is called quasi-separated if the morphism to Spec Z is quasi-separated. Quasi-separated algebraic spaces and algebraic stacks and morphisms between them are defined in a similar way, though some authors include the condition that X is quasi-separated as part of the definition of an algebraic space or algebraic stack X. Quasi-separated morphisms were introduced by Grothendieck (1964, 1.2.1) as a generalization of separated morphisms.The concept of quasi-separated morphisms does not usually appear in introductory courses on algebraic geometry, because all separated morphisms (and all morphisms of Noetherian schemes) are automatically quasi-separated. However quasi-separated morphisms are more important for algebraic spaces and algebraic stacks, where many natural morphisms are quasi-separated but not separated.The condition that a morphism is quasi-separated often occurs together with the condition that it is quasi-compact.".
- Quasi-separated_morphism wikiPageID "28281191".
- Quasi-separated_morphism wikiPageLength "2649".
- Quasi-separated_morphism wikiPageOutDegree "5".
- Quasi-separated_morphism wikiPageRevisionID "680083041".
- Quasi-separated_morphism wikiPageWikiLink Algebraic_space.
- Quasi-separated_morphism wikiPageWikiLink Category:Algebraic_geometry.
- Quasi-separated_morphism wikiPageWikiLink Non-Hausdorff_manifold.
- Quasi-separated_morphism wikiPageWikiLink Spectrum_of_a_ring.
- Quasi-separated_morphism wikiPageWikiLink Stack_(mathematics).
- Quasi-separated_morphism wikiPageWikiLinkText "Quasi-separated morphism".
- Quasi-separated_morphism wikiPageWikiLinkText "quasi-separated".
- Quasi-separated_morphism wikiPageUsesTemplate Template:EGA.
- Quasi-separated_morphism wikiPageUsesTemplate Template:Harvtxt.
- Quasi-separated_morphism subject Category:Algebraic_geometry.
- Quasi-separated_morphism comment "In algebraic geometry, a morphism of schemes f from X to Y is called quasi-separated if the diagonal map from X to X×YX is quasi-compact (meaning that the inverse image of any quasi-compact open set is quasi compact). A scheme X is called quasi-separated if the morphism to Spec Z is quasi-separated.".
- Quasi-separated_morphism label "Quasi-separated morphism".
- Quasi-separated_morphism sameAs Q17131030.
- Quasi-separated_morphism sameAs Morphisme_séparé.
- Quasi-separated_morphism sameAs 분리_사상.
- Quasi-separated_morphism sameAs m.0w68pvk.
- Quasi-separated_morphism sameAs Q17131030.
- Quasi-separated_morphism sameAs 分離態射.
- Quasi-separated_morphism wasDerivedFrom Quasi-separated_morphism?oldid=680083041.
- Quasi-separated_morphism isPrimaryTopicOf Quasi-separated_morphism.