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Cohomology of bundles on homological Hopf manifolds

Cohomology of bundles on homological Hopf manifolds
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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.
出处 《Science China Mathematics》 SCIE 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
关键词 Hopf manifolds cohomology of vector bundles local systems universal covers Stein spaces 32J27 32Q55 32M17 32S25 32Q28 Hopf manifolds cohomology of vector bundles local systems universal covers Stein spaces
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