Bounded Height in Pencils of Finitely Generated Subgroups
Number Theory
2017-10-18 v3
Abstract
We prove height bounds concerning intersections of finitely generated subgroups in a torus with algebraic subvarieties, all varying in a pencil. This vastly extends the previously treated constant case and involves entirely different, and more delicate, techniques.
Cite
@article{arxiv.1509.04963,
title = {Bounded Height in Pencils of Finitely Generated Subgroups},
author = {F. Amoroso and D. Masser and U. Zannier},
journal= {arXiv preprint arXiv:1509.04963},
year = {2017}
}