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Small points on subvarieties of a torus (2009)
by
Francesco Amoroso
,
Evelina Viada
| Venue: | Journal |
| Citations: | 21 - 3 self |
BibTeX
@ARTICLE{Amoroso09smallpoints,
author = {Francesco Amoroso and Evelina Viada},
title = {Small points on subvarieties of a torus},
journal = {Journal},
year = {2009}
}
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Abstract
Abstract. Let V be a subvariety of a torus defined over the algebraic numbers. We give a qualitative and quantitative description of the set of points of V of height bounded by invariants associated to any variety containing V. Especially, we determine whether such a set is or not dense in V. We then prove that these sets can always be written as the intersection of V with a finite union of translates of tori of which we control the sum of the degrees. As a consequence, we prove a conjecture by the first author and David up to a logarithmic factor. 1.
