The triviality of Brauer-Manin obstruction for subvarieties of semi-abelian varieties over function fields of characteristic zero

被引：0

作者：

Sun, Chia-Liang ^{[1
]}

机构：

[1] Acad Sinica, Inst Math, Room 626,6F Astron Math Bldg,1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan

来源：

MANUSCRIPTA MATHEMATICA | 2019年 / 160卷 / 3-4期

关键词：

POINTS;

D O I：

10.1007/s00229-019-01130-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every semi-abelian variety over a function field K of characteristic zero, we show that any subgroup of its S-integral K-valued points is discrete in the product of its local points over an infinite set of places of K, where S is a finite set of places of K.

引用

页码：385 / 389

页数：5

共 10 条

[1]

Bombieri E., 2006, Heights in diophantine geometry

[2] The Brauer-Manin obstruction for integral points on curves [J].

Harari, David ;

Voloch, Jose Felipe .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2010, 149 :413-421

[3]

Lang Serge, 1983, FUNDAMENTALS DIOPHAN

[4] The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields [J].

Poonen, Bjorn ;

Voloch, Jose Felipe .

ANNALS OF MATHEMATICS, 2010, 171 (01) :511-532

[5]

Rosen M, 2002, GRAD TEXT M, V210

[6]

Scharaschkin Victor, 1999, THESIS

[7]

SERRE JP, 1992, LECT NOTES MATH, V1500, pR3

[8] Finite descent obstructions and rational points on curves [J].

Stoll, Michael .

ALGEBRA & NUMBER THEORY, 2007, 1 (04) :349-391

[9] Local-Global Principle of Affine Varieties Over a Subgroup of Units in a Function Field [J].

Sun, Chia-Liang .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2014, 2014 (11) :3075-3095

[10] Product of Local Points of Subvarieties of Almost Isotrivial Semi-Abelian Varieties Over a Global Function Field [J].

Sun, Chia-Liang .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2013, 2013 (19) :4477-4498

← 1 →