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- Algebraic_space abstract "In mathematics, an algebraic space is a generalization of the schemes of algebraic geometry introduced by Artin (1969, 1971) for use in deformation theory. Intuitively, an algebraic space is something that looks locally like an affine scheme in the etale topology, in the same way that a scheme is something that looks locally like an affine scheme in the Zariski 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.".
- Algebraic_space wikiPageExternalLink ?id=3evuAAAAMAAJ.
- Algebraic_space wikiPageExternalLink Algebraic_spaces.html?id=Gl7vAAAAMAAJ.
- Algebraic_space wikiPageExternalLink 44.
- Algebraic_space wikiPageID "2394027".
- Algebraic_space wikiPageRevisionID "599566291".
- Algebraic_space authorlink "Michael Artin".
- Algebraic_space first "V.I.".
- Algebraic_space hasPhotoCollection Algebraic_space.
- Algebraic_space id "a/a011630".
- Algebraic_space last "Artin".
- Algebraic_space last "Danilov".
- Algebraic_space title "Algebraic space".
- Algebraic_space year "1969".
- Algebraic_space year "1971".
- Algebraic_space subject Category:Algebraic_geometry.
- Algebraic_space comment "In mathematics, an algebraic space is a generalization of the schemes of algebraic geometry introduced by Artin (1969, 1971) for use in deformation theory. Intuitively, an algebraic space is something that looks locally like an affine scheme in the etale topology, in the same way that a scheme is something that looks locally like an affine scheme in the Zariski topology.".
- Algebraic_space label "Algebraic space".
- Algebraic_space sameAs m.078_20.
- Algebraic_space sameAs Q4724016.
- Algebraic_space sameAs Q4724016.
- Algebraic_space wasDerivedFrom Algebraic_space?oldid=599566291.
- Algebraic_space isPrimaryTopicOf Algebraic_space.