Cohomology of bundles on homological Hopf manifold

Details Cohomology of bundles on homological Hopf manifold Cohomology of bundles on homological Hopf manifold

2008-10-17

arxiv.org/abs/0810.3259v1

Mathematics

Algebraic Geometry

To appear in Proceedings of 2007 conference on Several complex variables and Complex Geometry. Xiamen. China

Scientific paper

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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