Arithmetic height functions over finitely generated fields
数论
2007-05-23 v2 代数几何
摘要
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).
引用
@article{arxiv.math/9809016,
title = {Arithmetic height functions over finitely generated fields},
author = {Atsushi Moriwaki},
journal= {arXiv preprint arXiv:math/9809016},
year = {2007}
}
备注
35 or 36 pages, re-write several parts