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Duke Mathematical Journal 150, 3 (2009) 407-442

Small points on subvarieties of a torus

Francesco Amoroso 1, Evelina Viada 2

(2009)

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 :	Laboratoire de Mathématiques Nicolas Oresme (LMNO)
	CNRS : UMR6139 – Université de Caen Basse-Normandie
2 :	Department of Mathematics, Basel, Suisse
	Department of Mathematics, Basel, Suisse

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Mathématiques/Théorie des nombres

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Contributeur : Francesco Amoroso <>

Soumis le : Samedi 17 Octobre 2009, 09:52:01

Dernière modification le : Dimanche 30 Octobre 2011, 14:27:06