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arXiv · 0903.0106

The groups of points on abelian varieties over finite fields

Sergey Rybakov
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Abstract

Let $A$ be an abelian variety with commutative endomorphism algebra over a finite field $k$. The $k$-isogeny class of $A$ is uniquely determined by a Weil polynomial $f_A$ without multiple roots. We give a classification of the groups of $k$-rational points on varieties from this class in terms of Newton polygons of $f_A(1-t)$.

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Sergey Rybakov. 2009-03-02. The groups of points on abelian varieties over finite fields. https://arxiv.org/abs/0903.0106

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