3 papers
math.NT2023
Monodromy groups of Jacobians with definite quaternionic multiplication
Victoria Cantoral-Farfán, Davide Lombardo, John Voight
Let be an abelian variety over a number field. The connected monodromy field of is the minimal field over which the images of all the -adic torsion representations ha…
math.AG2020
Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces
Victoria Cantoral-Farfán, Alice Garbagnati, Cecília Salgado +2
We study K3 surfaces over a number field which are double covers of extremal rational elliptic surfaces. We provide a list of all elliptic fibrations on certain K3 surfaces tog…
math.NT2018
Chabauty-Coleman experiments for genus 3 hyperelliptic curves
Jennifer S. Balakrishnan, Francesca Bianchi, Victoria Cantoral-Farfán +2
We describe a computation of rational points on genus 3 hyperelliptic curves defined over whose Jacobians have Mordell-Weil rank 1. Using the method of Chabauty an…