Cohomology of bundles on homological Hopf manifold

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.

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

References in corpus (2)

• The automorphism group of an affine quadric
• Selected problems