%0 Journal Article
%T Arithmetic height functions over finitely generated fields
%A Atsushi Moriwaki
%J Mathematics
%D 1998
%I arXiv
%X In this paper, we propose a new height function for a variety defined over a finitely generated field over Q. For this height function, we will prove Northcott's theorem and Bogomolov's conjecture, so that we can recover the original Raynaud's theorem (Manin-Mumford's conjecture).
%U http://arxiv.org/abs/math/9809016v2