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Cohomology of bundles on homological Hopf manifolds

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, Chicago, IL, 60607, USA

    Anatoly Libgober

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  1. Anatoly Libgober
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Correspondence to Anatoly Libgober.

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Dedicated to Professor Zhong TongDe on the occasion of his 80th birthday

This work was supported by National Science Foundation

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Libgober, A. Cohomology of bundles on homological Hopf manifolds. Sci. China Ser. A-Math. 52, 2688–2698 (2009). https://doi.org/10.1007/s11425-009-0148-x

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