Cyclic abelian varieties over finite fields in ordinary isogeny classes

2020/01/29 by Giangreco-Maidana, Alejandro José
#11G10 #14G15 #14K15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2001.10874

Abstract

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 characteristic polynomial.

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