3 papers
math.NT2024
Examples of effectivity for integral points on certain curves of genus 2
Pietro Corvaja, Davide Lombardo, Umberto Zannier
We consider families of smooth projective curves of genus 2 with a single point removed and study their integral points. We show that in many such families there is a dense set of…
math.NT2024
Classification of rational angles in plane lattices II
Roberto Dvornicich, Davide Lombardo, Francesco Veneziano +1
This paper is a continuation of an earlier one, and completes a classification of the configurations of points in a plane lattice that determine angles that are rational multiples…
math.NT2022
A family of quintic Thue equations via Skolem's -adic method
Davide Lombardo
In this semi-expository article we solve the diophantine equation for all integers . This gives an example of a family of quintic Thue…