Distribution des points de petite hauteur dans les groupes multiplicatifs
Francesco Amoroso, Sinnou David (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We prove a new lower bound for the height of points on a subvariety of a multiplicative torus, which lie outside the union of torsion subvarieties of . Although lower bounds for the heights of these points where already known (decreasing multi-exponential function of the degree for Scmhidt and Bombieri–Zannier, [Sch], [Bo-Za], and inverse monomial in the degree by the second author of this note and P. Philippon, [Da-Phi]), our method proves the sharpest conjectures that can be formulated. ...