ON CLASSIFICATION OF GROUPS OF POINTS ON ABELIAN VARIETIES OVER FINITE FIELDS

被引：2

作者：

Rybakov, Sergey ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Poncelet Lab, UMI 2615,CNRS, 7 Vavilova Str, Moscow 117312, Russia

[2] Independent Univ Moscow, AG Lab, HSE, Moscow 117312, Russia

来源：

MOSCOW MATHEMATICAL JOURNAL | 2015年 / 15卷 / 04期

关键词：

Aelian variety; the group of rational points; finite field; Newton polygon; Hodge polygon;

D O I：

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

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 kappa-is ogeny class over a finite field kappa.

引用

页码：805 / 815

页数：11

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