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arXiv · 1007.0115

The groups of points on abelian surfaces over finite fields

Sergey Rybakov
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Abstract

Let $A$ be an abelian surface over a finite field $k$. The $k$-isogeny class of $A$ is uniquely determined by a Weil polynomial $f_A$ of degree 4. We give a classification of the groups of $k$-rational points on varieties from this class in terms of $f_A$.

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Sergey Rybakov. 2012-05-17. The groups of points on abelian surfaces over finite fields. https://arxiv.org/abs/1007.0115

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