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math.AG2025
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…
math.NT2025
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…
math.NT2025
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 is…