Holomorphic connections on some complex manifolds

被引：2

作者：

Biswas, Indranil

Iyer, Jaya N.

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

[2] Inst Math Sci, Madras 600113, Tamil Nadu, India

来源：

COMPTES RENDUS MATHEMATIQUE | 2007年 / 344卷 / 09期

关键词：

D O I：

10.1016/j.crma.2007.03.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M be a compact connected complex manifold equipped with a holomorphic submersion to a complex torus such that the fibers are all rationally connected. Then any holomorphic vector bundle over M admitting a holomorphic connection actually admits a flat holomorphic connection. A similar statement is valid for any finite quotient of M.

引用

页码：577 / 580

页数：4

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