2 papers
math.NT2025
On Darmon's program for the generalized Fermat equation, I
Nicolas Billerey, Imin Chen, Luis Dieulefait +1
In 2000, Darmon described a program to study the generalized Fermat equation using modularity of abelian varieties of -type over totally real fields. The original ap…
math.NT2025
A modular approach to Fermat equations of signature using Frey hyperelliptic curves
Imin Chen, Angelos Koutsianas
In this paper we carry out the steps of Darmon's program for the generalized Fermat equation In particular, we develop the machinery necessary to prove an op…