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- Algebraic_space abstract "In mathematics, algebraic spaces form a generalization of the schemes of algebraic geometry, introduced by Artin (1969, 1971) for use in deformation theory. Intuitively, schemes are given by gluing together affine schemes using the Zariski topology, while algebraic spaces are given by gluing together affine schemes using the finer étale topology. Alternatively one can think of schemes as being locally isomorphic to affine schemes in the Zariski topology, while algebraic spaces are locally isomorphic to affine schemes in the étale topology.The resulting category of algebraic spaces extends the category of schemes and allows one to carry out several natural constructions that are used in the construction of moduli spaces but are not always possible in the smaller category of schemes, such as taking the quotient of a free action by a finite group (cf. the Keel–Mori theorem).".
- Algebraic_space wikiPageExternalLink ?id=3evuAAAAMAAJ.
- Algebraic_space wikiPageExternalLink Algebraic_spaces.html?id=Gl7vAAAAMAAJ.
- Algebraic_space wikiPageExternalLink 025R.
- Algebraic_space wikiPageID "2394027".
- Algebraic_space wikiPageLength "10816".
- Algebraic_space wikiPageOutDegree "38".
- Algebraic_space wikiPageRevisionID "659691942".
- Algebraic_space wikiPageWikiLink Alexander_Grothendieck.
- Algebraic_space wikiPageWikiLink Algebraic_function.
- Algebraic_space wikiPageWikiLink Algebraic_geometry.
- Algebraic_space wikiPageWikiLink Analytic_space.
- Algebraic_space wikiPageWikiLink Category:Algebraic_geometry.
- Algebraic_space wikiPageWikiLink Category_(mathematics).
- Algebraic_space wikiPageWikiLink Codimension.
- Algebraic_space wikiPageWikiLink Covering_space.
- Algebraic_space wikiPageWikiLink Deformation_theory.
- Algebraic_space wikiPageWikiLink Descent_(mathematics).
- Algebraic_space wikiPageWikiLink Equivalence_class.
- Algebraic_space wikiPageWikiLink Equivalence_relation.
- Algebraic_space wikiPageWikiLink Finite_group.
- Algebraic_space wikiPageWikiLink Group_action.
- Algebraic_space wikiPageWikiLink Hironakas_example.
- Algebraic_space wikiPageWikiLink Hopf_manifold.
- Algebraic_space wikiPageWikiLink Indeterminate_(variable).
- Algebraic_space wikiPageWikiLink Keel–Mori_theorem.
- Algebraic_space wikiPageWikiLink Local_ring.
- Algebraic_space wikiPageWikiLink Mathematics.
- Algebraic_space wikiPageWikiLink Moduli_space.
- Algebraic_space wikiPageWikiLink Moishezon_manifold.
- Algebraic_space wikiPageWikiLink Oxford_University_Press.
- Algebraic_space wikiPageWikiLink Quasi-separated_morphism.
- Algebraic_space wikiPageWikiLink Quotient_stack.
- Algebraic_space wikiPageWikiLink Ring_(mathematics).
- Algebraic_space wikiPageWikiLink Scheme_(mathematics).
- Algebraic_space wikiPageWikiLink Sheaf_(mathematics).
- Algebraic_space wikiPageWikiLink Spectrum_of_a_ring.
- Algebraic_space wikiPageWikiLink Springer_Science+Business_Media.
- Algebraic_space wikiPageWikiLink Stack_(mathematics).
- Algebraic_space wikiPageWikiLink Zariski_topology.
- Algebraic_space wikiPageWikiLink Étale_morphism.
- Algebraic_space wikiPageWikiLink Étale_topology.
- Algebraic_space wikiPageWikiLinkText "Algebraic space".
- Algebraic_space wikiPageWikiLinkText "algebraic space".
- Algebraic_space authorlink "Michael Artin".
- Algebraic_space first "V.I.".
- Algebraic_space id "a/a011630".
- Algebraic_space last "Artin".
- Algebraic_space last "Danilov".
- Algebraic_space title "Algebraic space".
- Algebraic_space wikiPageUsesTemplate Template:Citation.
- Algebraic_space wikiPageUsesTemplate Template:Harvs.
- Algebraic_space wikiPageUsesTemplate Template:Springer.
- Algebraic_space year "1969".
- Algebraic_space year "1971".
- Algebraic_space subject Category:Algebraic_geometry.
- Algebraic_space comment "In mathematics, algebraic spaces form a generalization of the schemes of algebraic geometry, introduced by Artin (1969, 1971) for use in deformation theory. Intuitively, schemes are given by gluing together affine schemes using the Zariski topology, while algebraic spaces are given by gluing together affine schemes using the finer étale topology.".
- Algebraic_space label "Algebraic space".
- Algebraic_space sameAs Q4724016.
- Algebraic_space sameAs m.078_20.
- Algebraic_space sameAs Q4724016.
- Algebraic_space wasDerivedFrom Algebraic_space?oldid=659691942.
- Algebraic_space isPrimaryTopicOf Algebraic_space.