Small points on subvarieties of algebraic tori: results and methods

Francesco Amoroso (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

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 simples case of hypersurfaces.

Domaines: Théorie des nombres [math.NT]

Francesco Amoroso. Small points on subvarieties of algebraic tori: results and methods. 2005. ⟨hal-00004207⟩