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

[1] Effective results for points on certain subvarieties of tori
Berczes, Attila
Gyory, Kalman
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Pontreau, Corentin
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2009, 147 : 69 - 94
[2] On subvarieties of tori
Rémond, G
COMPOSITIO MATHEMATICA, 2002, 134 (03) : 337 - 366
[3] A small value estimate in dimension two involving translations by rational points
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[4] Lattices and Rational Points
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[5] Counting rational points on threefolds
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[6] ON UNIFORM BOUNDS FOR RATIONAL POINTS ON RATIONAL CURVES AND THIN SETS
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[9] Rational points on certain homogeneous varieties
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EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (01)
[10] Preperiodic points for families of rational maps
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Hsia, L-C
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PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2015, 110 : 395 - 427

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