Small points on a multiplicative group and class number problem.
Résumé
Let V be an algebraic subvariety of a torus and denote by V^* the complement in V of the Zariski closure of the set of torsion points of V . By a theorem of Zhang, V^* is discrete for the metric induced by the normalized height. We describe some quantitative versions of this result, close to the conjectural bounds, and we discuss some applications to study of the class group of some number fields.
Domaines
Théorie des nombres [math.NT]
Origine : Fichiers produits par l'(les) auteur(s)
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