12 citations · 50 across the 30 of their papers we have counts for
22 papers · 1 filter
Rational and integral values of rational functions at rational points
Pietro Corvaja, Umberto Zannier, appendix by D. Masser
The basic issue concerns sets of values of rational functions at rational points of an algebraic variety, namely image f(X(k)), where X is an algebbaric variety and f is a rational…
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…
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…
Finite Orbits in Surfaces with a Double Elliptic Fibration and Torsion Values of Sections
Pietro Corvaja, Jacob Tsimerman, Umberto Zannier
We consider surfaces with a double elliptic fibration, with two sections. We study the orbits under the induced translation automorphisms proving that, under natural conditions, th…