Ariel Pacetti

collaborators

2 papers

math.NT2025

On endomorphism algebras of $GL_{2}$ -type abelian varieties and Diophantine applications

Franco Golfieri Madriaga, Ariel Pacetti, Lucas Villagra Torcomian

Let $f$ and $g$ be two different newforms without complex multiplication having the same coefficient field. The main result of the present article proves that a congruence between…

math.NT2024

K-varieties and Galois representations

Enric Florit, Ariel Pacetti

In a remarkable article Ribet showed how to attach rational $2$ -dimensional representations to elliptic $Q$ -curves. An abelian variety $A$ is a (weak) $K$ -variety if it i…

On endomorphism algebras of GL2​-type abelian varieties and Diophantine applications

K-varieties and Galois representations

On endomorphism algebras of $GL_{2}$ -type abelian varieties and Diophantine applications