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arXiv · 0810.3259

Cohomology of bundles on homological Hopf manifold

A. Libgober
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Abstract

We discuss the properties of complex manifolds having rational homology of $S^1 \times S^{2n-1}$ 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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A. Libgober. 2008-10-17. Cohomology of bundles on homological Hopf manifold. https://doi.org/10.1007/s11425-009-0148-x

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