Line bundles on non-primary Hopf manifolds

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：nanti

【摘要】

：

Let X be a Hopf manifolds with Abelian fundamental group, L any flat line bundle on X, we give a formula for computing explicitly the cohomology Hq(X, Ωp(L) us

【作者】

：

Weiming Liu (1) Xiangyu Zhou

【机构】

：

1.InstituteofMathematics,2.DepartmentofMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

2004年4期

【关键词】

：

HOPF surface cohomology LINE bundle sections. Hopf surface cohomology line bu

【基金项目】

：

This work was supported by 973 Project Foundation of China and the Outstanding Youth Science Grant of NSFC (Grant No. 19825105).

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Let X be a Hopf manifolds with Abelian fundamental group, L any flat line bundle on X, we give a formula for computing explicitly the cohomology Hq(X, Ωp(L) using the method of group action and the generalized Douady sequence.

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Line bundles on non-primary Hopf manifolds

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