Martin Azon

works on

cluster pictures 1 conductor exponents 1 generalized fermat equations 1 hyperelliptic curves 1 modular method 1

From the 1 of 3 linked papers with an AI index.

activity

20242026

collaborators

3 papers

math.NT2026

Conductor exponents for families of hyperelliptic curves

Martin Azon, Mar CurcÃ³-Iranzo, Maleeha Khawaja +2

The paper computes conductor exponents at odd primes for three infinite families of hyperelliptic curves using cluster picture techniques, providing an alternative approach to prev…

math.NT2025

Effective Darmon's program for the generalised Fermat equation

Martin Azon

We follow the ideas of Darmon's program for solving infinite families of generalised Fermat equations of signatures $(p, p, r)$ and $(r, r, p)$ , where, $r$ is a fixed prime and $p$ is…

math.NT2024

Abelian surfaces over $F_{q} (t)$ with large Tate-Shafarevich groups

Martin Azon

We produce an explicit sequence $(S_{a})_{a \geq 1}$ of abelian surfaces over the rational function field $F_{q} (t)$ whose Tate-Shafarevich groups are finite and…

Conductor exponents for families of hyperelliptic curves

Effective Darmon's program for the generalised Fermat equation

Abelian surfaces over Fq​(t) with large Tate-Shafarevich groups

Abelian surfaces over $F_{q} (t)$ with large Tate-Shafarevich groups