Arithmetic height functions over finitely generated fields

被引：0

作者：

Atsushi Moriwaki

机构：

[1] Department of Mathematics,

[2] Faculty of Science,undefined

[3] Kyoto University,undefined

[4] Kyoto,undefined

[5] 606-8502,undefined

[6] Japan¶(e-mail: moriwaki@kusm.kyoto-u.ac.jp),undefined

来源：

Inventiones mathematicae | 2000年 / 140卷

关键词：

Mathematics Subject Classification (1991): 11G35, 14G25, 14G40, 11G10, 14K15;

D O I：

暂无

中图分类号：

学科分类号：

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：41

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