Cyclic abelian varieties over finite fields in ordinary isogeny classes

被引：0

作者：

Giangreco-Maidana, Alejandro J. ^{[1
]}

机构：

[1] Aix Marseille Univ, CNRS, Cent Marseille, I2M,UMR 7373, F-13453 Marseille, France

来源：

MATHEMATICAL COMMUNICATIONS | 2021年 / 26卷 / 02期

关键词：

group of rational points; cyclic; ordinary abelian variety; finite field; isogeny class; class of matrices; ELLIPTIC-CURVES; POINTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given an abelian variety A defined over a finite field k, we say that A is cyclic if its group A(k) of rational points is cyclic. In this paper, we give a bijection between cyclic abelian varieties of an ordinary isogeny class A with Weil polynomial f(A) and some classes of matrices with integer coefficients and having f(A) as a characteristic polynomial.

引用

页码：151 / 158

页数：8

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