Cohomology of bundles on homological Hopf manifolds  

作　　者：LIBGOBER Anatoly 

机构地区：[1]Department of Mathematics,University of Illinois,Chicago,IL 60607,USA

出　　处：《Science China Mathematics》2009年第12期2688-2698,共11页中国科学：数学（英文版）

基　　金：supported by National Science Foundation

摘　　要：We discuss the properties of complex manifolds having rational homology of S 1 × S 2n?1 including those constructed by Hopf, Kodaira and Brieskorn-van de Ven. We extend certain previously known properties of cohomology of bundles on such manifolds. As an application we consider degeneration of Hodge-de Rham spectral sequence in this non Kahler setting.We discuss the properties of complex manifolds having rational homology of S1×S2n-1 including those constructed by Hopf,Kodaira and Brieskorvan de Ven.We extend certain previ- ously known properties of cohomology of bundles on such manifolds.As an application we consider degeneration of Hodge–de Rham spectral sequence in this non Kahler setting.

关 键 词：Hopf manifolds cohomology of vector bundles local systems universal covers Stein spaces 32J27 32Q55 32M17 32S25 32Q28 

分 类 号：O187[理学—数学]