Note on Locally Conformal Kähler Surfaces

被引:0
|
作者
Yoshinobu Kamishima
机构
[1] Tokyo Metropolitan University,Department of Mathematics
来源
Geometriae Dedicata | 2001年 / 84卷
关键词
geometric complex surfaces; aspherical solvmanifolds; locally conformal Kähler structure; Inoue surfaces;
D O I
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中图分类号
学科分类号
摘要
The purpose of this note is to show that the complex two-dimensional locally conformal Kähler solvmanifold obtained by L. de Andres, Fernandez, Mencia and Cordero is holomorphically homothetic to the Inoue surface equipped with the locally conformal Kähler structure constructed by Tricerri. In order to prove it, we collect several facts related to the existence of locally conformal Kähler structure on compact complex surfaces.
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页码:115 / 124
页数:9
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