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Results tagged with abelian-varieties
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user 3247
Abelian varieties are projective algebraic varieties endowed with an Abelian group structure. Over the complex numbers, they can be described as quotients of a vector space by a lattice of full rank. They are analogs in higher dimensions of elliptic curves, and play an important role in algebraic geometry and number theory.
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Can an abelian variety be represented as the cohomology of some other object?
You probably want the isomorphism above to respect some additional structures; otherwise if we view $V(\bar k)$ (assuming $V$ is defined over a field $k$) as just an abelian group, then take any finit …
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