Décompositions en hauteurs locales

Abstract

Let A be the jacobian variety of a hyperelliptic curve defined over a number field k. We provide a decomposition formula for the Faltings height of A and for the Néron-Tate height of k-rational points on A. We formulate a question of Bogomolov type on the space of principally polarized abelian varieties of dimension g.

arXiv commentin French