Bounded Height in Pencils of Finitely Generated Subgroups
arXiv:1509.04963 · doi:10.1215/00127094-2017-0009
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.