Mesures et \'equidistribution sur les espaces de Berkovich
Number Theory
2010-04-26 v3
Abstract
The proof by Ullmo and Zhang of Bogomolov's conjecture about points of small height in abelian varieties made a crucial use of an equidistribution property for ``small points'' in the associated complex abelian variety. We study the analogous equidistribution property at -adic places. Our results can be conveniently stated within the framework of the analytic spaces defined by Berkovich. The first one is valid in any dimension but is restricted to ``algebraic metrics'', the second one is valid for curves, but allows for more general metrics, in particular to the normalized heights with respect to dynamical systems.
Cite
@article{arxiv.math/0304023,
title = {Mesures et \'equidistribution sur les espaces de Berkovich},
author = {Antoine Chambert-Loir},
journal= {arXiv preprint arXiv:math/0304023},
year = {2010}
}
Comments
In French; submitted