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Concept information

number > number theory > algebraic number theory > abelian variety
geometry > algebraic geometry > algebraic variety > algebraic curve > abelian variety
mathematical analysis > functional analysis > geometry of numbers > arithmetic geometry > abelian variety
number > number theory > geometry of numbers > arithmetic geometry > abelian variety
geometry > discrete geometry > geometry of numbers > arithmetic geometry > abelian variety
... > number > real number > Diophantine approximation > geometry of numbers > arithmetic geometry > abelian variety

Terme préférentiel

abelian variety  

Définition

  • In mathematics, particularly in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a projective algebraic variety that is also an algebraic group, i.e., has a group law that can be defined by regular functions. Abelian varieties are at the same time among the most studied objects in algebraic geometry and indispensable tools for much research on other topics in algebraic geometry and number theory.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Abelian_variety)

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http://data.loterre.fr/ark:/67375/PSR-H3Z5XWTH-5

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RDF/XML TURTLE JSON-LD Date de création 21/07/2023, dernière modification le 23/08/2023