Amoroso, Francesco and Evelina, Viada. (2009) Small points on subvarieties of a torus. Duke mathematical journal, Vol. 150, H. 2. pp. 407442.

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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 is 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.
Faculties and Departments:  05 Faculty of Science 

UniBasel Contributors:  Viada, Evelina 
Item Type:  Article, refereed 
Article Subtype:  Research Article 
Publisher:  Duke University Press 
ISSN:  00127094 
Note:  Publication type according to Uni Basel Research Database: Journal article 
Language:  English 
Last Modified:  31 Dec 2015 10:44 
Deposited On:  22 Mar 2012 13:43 
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