2 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
Rational distances from given rational points in the plane
Pietro Corvaja, Amos Turchet, Umberto Zannier
In this paper we study sets of points in the plane with rational distances from r prescribed points P_1, ...,P_r. A crucial case arises for r = 3, where we provide simple necessary…