Alejandro J. Giangreco Maidana

collaborators

2 papers

math.AG2025

Existence of simple non-cyclic abelian varieties over arbitrary finite fields and of a given dimension $g > 1$

Alejandro J. Giangreco Maidana

Vl{\u a}du{\c t} characterized in 1999 the set of finite fields $k$ such that all elliptic curves defined over $k$ have a cyclic group of rational points. Under the conjecture of i…

math.NT2021

Weil polynomials of abelian varieties over finite fields with many rational points

Elena Berardini, Alejandro J. Giangreco Maidana

We consider the finite set of isogeny classes of $g$ -dimensional abelian varieties defined over the finite field $F_{q}$ with endomorphism algebra being a field. We prove th…

Existence of simple non-cyclic abelian varieties over arbitrary finite fields and of a given dimension g>1

Weil polynomials of abelian varieties over finite fields with many rational points

Existence of simple non-cyclic abelian varieties over arbitrary finite fields and of a given dimension $g > 1$