35 citations · 163 across the 46 of their papers we have counts for
54 papers
Pencils of norm form equations and a conjecture of Thomas, II
Francesco Amoroso, David Masser, Umberto Zannier
We continue our studies on parametric norm forms , with lying in some parametric linear subvariety and integers sufficien…
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…
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…
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…
Purely exponential parametrizations and their group-theoretic applications
Pietro Corvaja, Julian Demeio, Andrei Rapinchuk +2
This paper is mainly motivated by the analysis of the so-called Bounded Generation property (BG) of linear groups (in characteristic ), which is known to admit far-reaching grou…
Examples of effectivity for integral points on certain curves of genus 2
Pietro Corvaja, Umberto Zannier
This short article concerns a method to obtain effectivity for the search of integral points on certain (sets of) curves of genus 2. More precisely, we wish to illustrate just an e…