The groups of points on abelian surfaces over finite fields

被引：6

作者：

Rybakov, Sergey ^{[1
]}

机构：

[1] CNRS, UMI 2615, Poncelet Lab, F-75700 Paris, France

来源：

ARITHMETIC, GEOMETRY, CRYPTOGRAPHY AND CODING THEORY | 2012年 / 574卷

关键词：

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

D O I：

10.1090/conm/574/11424

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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).

引用

页码：151 / 158

页数：8

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