This article is cited in 3 papers

On classification of groups of points on abelian varieties over finite fields

Sergey Rybakov<sup>abc

a</sup> Institute for information transmission problems of the Russian Academy of Sciences
^b Poncelet laboratory (UMI 2615 of CNRS and Independent University of Moscow)
^c AG Laboratory, HSE, 7 Vavilova str., Moscow, Russia, 117312

Abstract: In this paper we improve our previous results on classification of groups of points on abelian varieties over finite fields. The classification is given in terms of the Weil polynomial of abelian varieties in a given $k$-isogeny class over a finite field $k$.

Key words and phrases: abelian variety, the group of rational points, finite field, Newton polygon, Hodge polygon.

MSC: 14K99, 14G05, 14G15

Received: April 2, 2014; in revised form October 17, 2015

Language: English

DOI: 10.17323/1609-4514-2015-15-4-805-815

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