Some Results on Holomorphic Vector Bundles Over General Hopf Manifolds

CSpace

	Some Results on Holomorphic Vector Bundles Over General Hopf Manifolds
其他题名	Some Results on Holomorphic Vector Bundles Over General Hopf Manifolds
	Gan Ning; Zhou Xiangyu
	2005
发表期刊	数学进展
ISSN	1000-0917
卷号	34.0 期号:002 页码:245-248
摘要	1 Introduction In recent years, holomorphic vector bundles on non-algebraic manifolds received increased attention. The main problem is to determine which continuous complex vector bundle carries a holomorphic structure or furthermore a holomorphic filtrable structure. D. Mall studied vector bundles on the primary Hopf manifolds。
其他摘要	1 Introduction　　In recent years, holomorphic vector bundles on non-algebraic manifolds received increased attention2. The main problem is to determine which continuous complex vector bundle carries a holomorphic structure or furthermore a holomorphic filtrable structure. D. Mall studied vector bundles on the primary Hopf manifoldss-ii. Zhou and Liu studied the Hopf manifolds with Abelian fundamental group7,i4. Here we study the Hopf manifolds with Non-Abelian fundamental group π1 (X) ≌ Z. H. We use the generalized Douady sequence obtained in 13 and use the method of group action to get the formula for computing of dimensions of cohomology of line bundles on non-primary Hopf manifold, especially non-primary Hopf surfaces. Then using the same method, get the formula for computing of dimensions of cohomology of holomorphic vector bundles with trivial pull-back on non-primary Hopf manifold, and get the filtrable property and the Structure Theorem.……
关键词	正则复向量丛连续性霍普夫非代数流形过滤结构阿贝尔群
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:1954177
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/53669
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Gan Ning,Zhou Xiangyu. Some Results on Holomorphic Vector Bundles Over General Hopf Manifolds[J]. 数学进展,2005,34.0(002):245-248.
APA	Gan Ning,&Zhou Xiangyu.(2005).Some Results on Holomorphic Vector Bundles Over General Hopf Manifolds.数学进展,34.0(002),245-248.
MLA	Gan Ning,et al."Some Results on Holomorphic Vector Bundles Over General Hopf Manifolds".数学进展 34.0.002(2005):245-248.