Keywords

#abelian_variety

Abelian variety

A projective algebraic variety that is also an algebraic group

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 research on other topics in algebraic geometry and number theory.

Sun 15th

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Abelian variety Arithmetic of abelian varieties Dual abelian variety Moduli of abelian varieties Semistable abelian variety Timeline of abelian varieties Algebraic variety Hodge conjecture Conductor of an abelian variety Algebraic group
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