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.

引用

页码：71 / 78

页数：8

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