3 papers
math.NT2026
Abelian surfaces of small conductor from genus 3 double covers
Raymond van Bommel, Céline Maistret, Jia Shi +1
We describe the construction of a database of roughly half a million abelian surfaces over Q of small conductor arising as Pryms associated to a genus 3 double cover of a genus 1 c…
math.NT2025
On the factorization of twisted -values and -descents over -number fields
Céline Maistret, Himanshu Shukla
We investigate the Galois module structure of the Tate-Shafarevich group of elliptic curves. For a Dirichlet character , we give an explicit conjecture relating the ideal factor…
math.NT2024
Conductor exponents for families of hyperelliptic curves
Martin Azon, Mar Curcó-Iranzo, Maleeha Khawaja +2
We compute the conductor exponents at odd places using the machinery of cluster pictures of curves for three infinite families of hyperelliptic curves. These are families of Frey h…