Small points on rational subvarieties of tori

被引：11

作者：

Amoroso, Francesco ^{[1
]}

Viada, Evelina ^{[2
]}

机构：

[1] Univ Caen, Math Lab, F-14032 Caen, France

[2] Univ Basel, Dept Math, CH-4051 Basel, Switzerland

来源：

COMMENTARII MATHEMATICI HELVETICI | 2012年 / 87卷 / 02期

关键词：

Heights; Lehmer's problem; HEIGHT;

D O I：

10.4171/CMH/256

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let V be a subvariety of a torus defined over the rational numbers. We study the distribution of points of small Well's height on V. We simplify the proof and we improve previous results by the first author and S. David. We obtain a totally explicit version of a generalized Dobrowolski result on the Lehmer problem.

引用

页码：355 / 383

页数：29

共 39 条

[21] Small points on a surface
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[29] On the average number of rational points of bounded height on hyperelliptic curves
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BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2012, 53 (01): : 225 - 233
[30] Points of small height on the subvariety of torus
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COMPOSITIO MATHEMATICA, 2006, 142 (03) : 551 - 562

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