4 papers
On the Visibility category of the Shafarevich--Tate group
Barinder S. Banwait, Jerson Caro, Shiva Chidambaram
Given an elliptic curve over $\Q$ and a nontrivial element of its Shafarevich--Tate group $\Sha(E)$, we introduce the \textbf{Visualization category} $\V(E; Ï)$ of abelia…
Picard rank and Ulrich line bundles on bidouble planes
Jerson Caro, Juan Cruz-Penagos, Sergio Troncoso
We determine the Picard number and the Ulrich complexity of general bidouble covers of the projective plane, providing the first systematic study of Ulrich bundles on non-cyclic ab…
On Diophantine properties for values of Dedekind zeta functions
Jerson Caro, Fabien Pazuki, Riccardo Pengo
We study the Northcott and Bogomolov property for special values of Dedekind -functions at real values . We prove, in particular, that the Bogomolov property…
A refined Chabauty--Coleman bound for surfaces
Jennifer S. Balakrishnan, Jerson Caro
Caro and Pasten gave an explicit upper bound on the number of rational points on a hyperbolic surface that is embedded in an abelian variety of rank at most one. We show how to use…