Curves on the Oeljeklaus-Toma manifolds

被引：7
|
作者：
Verbitskaya, S. M. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2014年 / 48卷 / 03期
关键词：
non-Kahler manifold; complex manifold; Oeljeklaus-Toma manifold; Inoue surface; surface of class VII; Dirichlet unit theorem;
D O I：
10.1007/s10688-014-0063-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Oeljeklaus-Toma manifolds are complex non-Kahler manifolds constructed by Oeljeklaus and Toma from certain number fields and generalizing the Inoue surfaces S (m) . We prove that the Oeljeklaus-Toma manifolds contain no compact complex curves.
引用
收藏
页码：223 / 226
页数：4
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