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Results tagged with abelian-varieties
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user 16751
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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Characterizations of Abelian varieties (3-folds) in positive characteristic
I don't have an answer, but a couple of comments that may be useful:
The group $H^1({\cal O}_X)$ can be identified with the Zariski tangent space of ${\rm Pic}^0(X)$. Since the latter can be non-redu …
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