Commentarii Mathematici Helvetici

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Volume 87, Issue 2, 2012, pp. 355–383
DOI: 10.4171/CMH/256

Small points on rational subvarieties of tori

Francesco Amoroso[1] and Evelina Viada[2]

(1) Laboratoire de mathématiques, Université de Caen, Campus II, F-14032, CAEN, FRANCE
(2) Departement Mathematik und Informatik, Fachbereich Mathematik, Universität Basel, Spiegelgasse 1, CH-4051, BASEL, SWITZERLAND

Let $V$ be a subvariety of a torus defined over the rational numbers. We study the distribution of points of small Weil’s height on $V$. We simplify the proof and we improve previous results by the first author and S. David. We obtain a totally explicit version of a generalized Dobrowolski result on the Lehmer problem.

Keywords: Heights, Lehmer’s problem

Amoroso Francesco, Viada Evelina: Small points on rational subvarieties of tori. Comment. Math. Helv. 87 (2012), 355-383. doi: 10.4171/CMH/256