Cohomology of bundles on homological Hopf manifold
Abstract
We discuss the properties of complex manifolds having rational homology of S1 × S2n-1 including those constructed by Hopf, Kodaira and Brieskorn-van de Ven. We extend certain previously known vanishing properties of cohomology of bundles on such manifolds.As an application we consider degeneration of Hodge-deRham spectral sequence in this non Kahler setting.
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