4 papers
An introduction to algebraic groups
Davide Lombardo
We review the theory of abelian varieties and, more generally, algebraic groups, with a view toward arithmetic applications. We discuss their models over the rings of integers of n…
Finding the complement of an elliptic curve inside a Jacobian
Andrea Gallese, Davide Lombardo, Francesco Naccarato +1
This note gives a simple algorithm for the following effectivity problem: given a genus curve together with a nonconstant map to an elliptic curve, determine an…
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…