Arithmetic height functions over finitely generated fields

被引：49

作者：

Moriwaki, A ^{[1
]}

机构：

[1] Kyoto Univ, Fac Sci, Dept Math, Kyoto 6068502, Japan

来源：

INVENTIONES MATHEMATICAE | 2000年 / 140卷 / 01期

关键词：

D O I：

10.1007/s002220050358

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 prove Northcott's theorem and Bogomolov's conjecture, so that we can recover the original Raynaud's theorem (Manin-Mumford's conjecture).

引用

页码：101 / 142

页数：42

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