A CRITERION FOR HOLOMORPHIC EXTENSION OF PRINCIPAL BUNDLES

被引：1
|
作者：
Biswas, Indranil [1 ]
机构：
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
来源：
KODAI MATHEMATICAL JOURNAL | 2011年 / 34卷 / 01期
关键词：
Holomorphic principal bundle; holomorphic extension; connection; VECTOR-BUNDLES; CONNECTIONS;
D O I：
10.2996/kmj/1301576762
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a complex affine algebraic group, and let E-G be a holomorphic principal G-bundle on the complement M\S, where S is a closed complex analytic subset, of complex codimension at least two, of a connected complex manifold M. We give a criterion for E-G to extend to M as a holomorphic principal G-bundle. Two applications of this criterion are given.
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页码：71 / 78
页数：8
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