Pedro-José Cazorla García

collaborators

2 papers

math.NT2025

On the conductor of a family of Frey hyperelliptic curves

Pedro-José Cazorla García, Lucas Villagra Torcomian

In his breakthrough article, Darmon presented a program to study Generalized Fermat Equations (GFE) via abelian varieties of $GL_{2}$ -type over totally real fields. So far, on…

math.NT2023

On differences of perfect powers and prime powers

Pedro-José Cazorla García

Given a prime number $q$ and a squarefree integer $C_{1}$ , we develop a method to explicitly determine the tuples $(y, n, α)$ for which the difference $y^{n} - q^{α}$ has squarefree part e…