Alejandro J. Giangreco-Maidana

collaborators

4 papers

math.AG2020

Cyclic abelian varieties over finite fields in ordinary isogeny classes

Alejandro José Giangreco-Maidana

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 betwee…

math.NT2020

Some arithmetic properties of Weil polynomials of the form $t^{2 g} + a t^{g} + q^{g}$

Alejandro J. Giangreco-Maidana

An isogeny class $A$ of abelian varieties defined over finite fields is said to be "cyclic" if every variety in $A$ has a cyclic group of rational points. In th…

math.AG2018

Local cyclicity of isogeny classes of abelian varieties defined over finite fields

Alejandro J. Giangreco-Maidana

For a prime number $ℓ$ , an isogeny class $A$ of abelian varieties is called $ℓ$ -cyclic if every variety in $A$ have a cyclic $ℓ$ -part of its group of r…

math.AG2018

On the cyclicity of the rational points group of abelian varieties over finite fields

Alejandro J. Giangreco-Maidana

We propose a simple criterion to know if an abelian variety $A$ defined over a finite field $F_{q}$ is cyclic, i.e., it has a cyclic group of rational points; this criterion…

Cyclic abelian varieties over finite fields in ordinary isogeny classes

Some arithmetic properties of Weil polynomials of the form t2g+atg+qg

Local cyclicity of isogeny classes of abelian varieties defined over finite fields

On the cyclicity of the rational points group of abelian varieties over finite fields

Some arithmetic properties of Weil polynomials of the form $t^{2 g} + a t^{g} + q^{g}$