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Bounded height in pencils of finitely generated subgroups

Date Issued
2017-01-01
Author(s)
Amoroso, Francesco
Masser, David  
Zannier, Umberto
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.
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