Algebraic and o-minimal flows on complex and real tori

被引：4
|
作者：
Peterzil, Ya'acov [1 ]
Starchenko, Sergei [2 ]
机构：
[1] Univ Haifa, Haifa, Israel
[2] Univ Notre Dame, Notre Dame, IN 46556 USA
来源：
ADVANCES IN MATHEMATICS | 2018年 / 333卷
关键词：
Algebraic flows; O-minimal flows; Orbit closure; O-minimal; Algebraically closed valued fields;
D O I：
10.1016/j.aim.2018.05.040
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the covering map pi : C-n -> T of a compact complex torus. Given an algebraic variety X subset of C-n we describe the topological closure of pi(X) in T. We obtain a similar description when F is a real torus and X subset of R-n is a set definable in an o -minimal structure over the reals. (C) 2018 Elsevier Inc. All rights reserved.
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页码：539 / 569
页数：31
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