Groups of points on abelian threefolds over finite fields

Yulia Kotelnikova

doi:10.1016/j.ffa.2019.04.003

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arXiv · 1811.09407

Groups of points on abelian threefolds over finite fields

Yulia Kotelnikova

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Abstract

In this paper we provide an algorithm to classify groups of points on abelian threefolds over finite fields. The classification is given in terms of the Weil polynomial of abelian varieties in a given $\mathbb{F}_q$-isogeny class. This work completes partial classification given by S.Rybakov.

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Yulia Kotelnikova. 2019-01-31. Groups of points on abelian threefolds over finite fields. https://doi.org/10.1016/j.ffa.2019.04.003

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