Rational points on analytic varieties

被引：1

作者：

Beshenov, Alexey ^{[1
,2
]}

Bilu, Margaret ^{[3
]}

Bilu, Yuri ^{[1
,2
]}

Rath, Purusottam ^{[4
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux, 351 Cours Liberat, F-33405 Talence, France

[2] CNRS, F-33405 Talence, France

[3] Univ Paris Sud 11, Dept Math Orsay, F-91405 Orsay, France

[4] Chennai Math Inst, Chennai 603103, Tamil Nadu, India

来源：

EMS SURVEYS IN MATHEMATICAL SCIENCES | 2015年 / 2卷 / 01期

关键词：

Counting rational points; Manin-Mumford conjecture; Andre-Oort conjecture; definable sets; o-minimality;

D O I：

10.4171/EMSS/10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is a brief, informal and very elementary introduction into the work of Pila and others about counting rational points on analytic and, more generally, definable sets. We also discuss some of the most spectacular applications.

引用

页码：109 / 130

页数：22

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