Loterre: Matemáticas: abelian variety

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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

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abelian variety

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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