D\'ecompositions en hauteurs locales
Number Theory
2019-02-28 v5
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 N\'eron-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.
Keywords
Cite
@article{arxiv.1205.4525,
title = {D\'ecompositions en hauteurs locales},
author = {Fabien Pazuki},
journal= {arXiv preprint arXiv:1205.4525},
year = {2019}
}
Comments
in French