Distribution des points de petite hauteur dans les groupes multiplicatifs

• Francesco Amoroso ^[2] ; Sinnou David ^[1]
  1. [1] Pierre and Marie Curie University

     Pierre and Marie Curie University

     París, Francia

     
  2. [2] Universitè de Caen, France
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 3, Nº 2, 2004, págs. 325-348
• Idioma: francés
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• Resumen

  • We prove a new lower bound for the height of points on a subvariety V of a multiplicative torus, which lie outside the union of torsion subvarieties of V.

    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 up to an ε the sharpest conjectures that can be formulated.