The groups of points on abelian varieties over finite fields

被引：11

作者：

Rybakov, Sergey ^{[1
,2
,3
]}

机构：

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

[2] Independent Univ Moscow, Moscow, Russia

[3] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 117901, Russia

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 02期

关键词：

Abelian variety; The group of rational points; Finite field; Newton polygon; Hodge polygon; ELLIPTIC-CURVES;

D O I：

10.2478/s11533-010-0003-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be an abelian variety with commutative endomorphism algebra over a finite field k. The k-isogeny class of A is uniquely determined by a Weil polynomial f (A) without multiple roots. We give a classification of the groups of k-rational points on varieties from this class in terms of Newton polygons of f (A) (1 - t).

引用

页码：282 / 288

页数：7

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