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- Abelian_surface abstract "In mathematics, an abelian surface is 2-dimensional abelian variety.One-dimensional complex tori are just elliptic curves and are all algebraic, but Riemann discovered that most complex tori of dimension 2 are not algebraic. The algebraic ones are called abelian surfaces and are exactly the 2-dimensional abelian varieties.Most of their theory is a special case of the theory of higher-dimensional tori or abelian varieties. Criteria to be a product of two elliptic curves (up to isogeny) were a popular study in the nineteenth century.Invariants: The plurigenera are all 1. The surface is diffeomorphic to S1×S1×S1×S1 so the fundamental group is Z4.Hodge diamond:Examples: A product of two elliptic curves. The Jacobian variety of a genus 2 curve.".
- Abelian_surface wikiPageID "974181".
- Abelian_surface wikiPageLength "1896".
- Abelian_surface wikiPageOutDegree "13".
- Abelian_surface wikiPageRevisionID "659926181".
- Abelian_surface wikiPageWikiLink Abelian_variety.
- Abelian_surface wikiPageWikiLink Bernhard_Riemann.
- Abelian_surface wikiPageWikiLink Cambridge_University_Press.
- Abelian_surface wikiPageWikiLink Category:Algebraic_surfaces.
- Abelian_surface wikiPageWikiLink Category:Complex_surfaces.
- Abelian_surface wikiPageWikiLink Elliptic_curve.
- Abelian_surface wikiPageWikiLink Hodge_theory.
- Abelian_surface wikiPageWikiLink Homological_mirror_symmetry.
- Abelian_surface wikiPageWikiLink Isogeny.
- Abelian_surface wikiPageWikiLink Jacobian_variety.
- Abelian_surface wikiPageWikiLink Kodaira_dimension.
- Abelian_surface wikiPageWikiLink Mathematics.
- Abelian_surface wikiPageWikiLink Riemann.
- Abelian_surface wikiPageWikiLinkText "Abelian surface".
- Abelian_surface wikiPageWikiLinkText "Horrocks–Mumford surface".
- Abelian_surface wikiPageWikiLinkText "abelian surface".
- Abelian_surface first "Ch.".
- Abelian_surface hasPhotoCollection Abelian_surface.
- Abelian_surface id "a/a110040".
- Abelian_surface last "Birkenhake".
- Abelian_surface wikiPageUsesTemplate Template:Citation.
- Abelian_surface wikiPageUsesTemplate Template:Eom.
- Abelian_surface wikiPageUsesTemplate Template:Geometry-stub.
- Abelian_surface wikiPageUsesTemplate Template:Hodge_diamond.
- Abelian_surface subject Category:Algebraic_surfaces.
- Abelian_surface subject Category:Complex_surfaces.
- Abelian_surface hypernym Variety.
- Abelian_surface type Grape.
- Abelian_surface type Surface.
- Abelian_surface type Variety.
- Abelian_surface comment "In mathematics, an abelian surface is 2-dimensional abelian variety.One-dimensional complex tori are just elliptic curves and are all algebraic, but Riemann discovered that most complex tori of dimension 2 are not algebraic. The algebraic ones are called abelian surfaces and are exactly the 2-dimensional abelian varieties.Most of their theory is a special case of the theory of higher-dimensional tori or abelian varieties.".
- Abelian_surface label "Abelian surface".
- Abelian_surface sameAs アーベル曲面.
- Abelian_surface sameAs m.0661np1.
- Abelian_surface sameAs Q4666683.
- Abelian_surface sameAs Q4666683.
- Abelian_surface wasDerivedFrom Abelian_surface?oldid=659926181.
- Abelian_surface isPrimaryTopicOf Abelian_surface.