Groups of points on abelian threefolds over finite fields

Yulia Kotelnikova

doi:10.1016/j.ffa.2019.04.003

Groups of points on abelian threefolds over finite fields

Number Theory 2019-05-20 v2

Authors: 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.

Keywords

abelian threefolds finite fields groups of points weil polynomial isogeny class classification algorithm

Cite

@article{arxiv.1811.09407,
  title  = {Groups of points on abelian threefolds over finite fields},
  author = {Yulia Kotelnikova},
  journal= {arXiv preprint arXiv:1811.09407},
  year   = {2019}
}