Small points on subvarieties of algebraic tori: results and methods
Received: 22 September 2004
Revised: 21 October 2004
Mathematics Subject Classification (2000): 11G10 - 11J81 - 14G40
Abstract: This paper is a survey on some quantitative versions of Bogomolov's conjecture for a torus obtained by the author together with Sinnou David. The proofs are partially sketched, starting with the simplest case of hypersurfaces.