About: Hyperelliptic surface

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In mathematics, a hyperelliptic surface, or bi-elliptic surface, is a surface whose Albanese morphism is an elliptic fibration. Any such surface can be written as the quotient of a product of two elliptic curves by a finite abelian group.Hyperelliptic surfaces form one of the classes of surfaces of Kodaira dimension 0 in the Enriques–Kodaira classification.

Attributes	Values
rdf:type	bone yago:WikicatComplexSurfaces yago:Artifact100021939 yago:Object100002684 yago:PhysicalEntity100001930 yago:Surface104362025 yago:Whole100003553 yago:WikicatAlgebraicSurfaces
rdfs:label	Hyperelliptic surface (en) 超楕円曲面 (ja) Гиперэллиптическая поверхность (ru)
rdfs:comment	In mathematics, a hyperelliptic surface, or bi-elliptic surface, is a surface whose Albanese morphism is an elliptic fibration. Any such surface can be written as the quotient of a product of two elliptic curves by a finite abelian group.Hyperelliptic surfaces form one of the classes of surfaces of Kodaira dimension 0 in the Enriques–Kodaira classification. (en) 数学では、超楕円曲面(hyperelliptic surface)、あるいは双楕円曲面(bi-elliptic surface)は、楕円曲線上の楕円ファイバー(elliptic fibration)を持つ曲面である。すべてのそのような曲面は、有限アーベル群による 2つの楕円曲線の積の商として記述できる。超楕円曲面は、エンリケス・小平の分類の中の小平次元 0 の曲面のひとつのクラスである。 (ja) Гиперэллиптическая или биэллиптическая поверхность — это поверхность, морфизм Альбанезе которой является . Любая такая поверхность может быть записана как факторгруппа произведения двух эллиптических кривых по конечной абелевой группе.Гиперэллиптические поверхности образуют один из классов с 0 в классификации Энриквеса — Кодайры. (ru)
dcterms:subject	Algebraic surfaces Complex surfaces
Wikipage page ID	8358276 (xsd:integer)
Wikipage revision ID	1019122722 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press Enriques–Kodaira classification Betti number Cusp (singularity) Inventiones Mathematicae Mathematics Quotient group Fiber (mathematics) Direct product Group action (mathematics) Algebraic surfaces Complex surfaces Characteristic (algebra) Albanese variety Surface (mathematics) Group scheme Kodaira dimension Rational curve Canonical divisor Primitive nth root of unity Elliptic fibration Finite abelian group Chern number Holomorphic Euler characteristic
Link from a Wikipage to an external page	https://dash.harvard.edu/bitstream/handle/1/3612776/Mumford_EnriquesClassIII.pdf%3Fsequence=3
sameAs	Hyperelliptic surface Hyperelliptic surface Hyperelliptic surface Hyperelliptic surface Hyperelliptic surface Hyperelliptic surface
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Harv dbt:ISBN
has abstract	In mathematics, a hyperelliptic surface, or bi-elliptic surface, is a surface whose Albanese morphism is an elliptic fibration. Any such surface can be written as the quotient of a product of two elliptic curves by a finite abelian group.Hyperelliptic surfaces form one of the classes of surfaces of Kodaira dimension 0 in the Enriques–Kodaira classification. (en) 数学では、超楕円曲面(hyperelliptic surface)、あるいは双楕円曲面(bi-elliptic surface)は、楕円曲線上の楕円ファイバー(elliptic fibration)を持つ曲面である。すべてのそのような曲面は、有限アーベル群による 2つの楕円曲線の積の商として記述できる。超楕円曲面は、エンリケス・小平の分類の中の小平次元 0 の曲面のひとつのクラスである。 (ja) Гиперэллиптическая или биэллиптическая поверхность — это поверхность, морфизм Альбанезе которой является . Любая такая поверхность может быть записана как факторгруппа произведения двух эллиптических кривых по конечной абелевой группе.Гиперэллиптические поверхности образуют один из классов с 0 в классификации Энриквеса — Кодайры. (ru)
gold:hypernym	Surface
prov:wasDerivedFrom	wikipedia-en:Hyperelliptic_surface?oldid=1019122722&ns=0
page length (characters) of wiki page	4217 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Hyperelliptic_surface
is Link from a Wikipage to another Wikipage of	Enriques–Kodaira classification List of complex and algebraic surfaces Algebraic surface Inoue surface Giuseppe Bagnera (mathematician) Glossary of classical algebraic geometry Calabi–Yau manifold Michele de Franchis Kodaira dimension Bi-elliptic surface Bielliptic surface Quasi-hyperelliptic surface Quasi hyperelliptic surface
is Wikipage redirect of	Bi-elliptic surface Bielliptic surface Quasi-hyperelliptic surface Quasi hyperelliptic surface
is foaf:primaryTopic of	wikipedia-en:Hyperelliptic_surface

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