Archiv der Mathematik

, Volume 98, Issue 5, pp 427–431 | Cite as

Contact Moishezon threefolds with second Betti number one

  • Jarosław Buczyński
  • Thomas Peternell
Open Access


We prove that the only contact Moishezon threefold having second Betti number equal to one is the projective space.

Mathematics Subject Classification

Primary 32J17 53D10 Secondary 14J30 


Complex contact manifold Moishezon space Threefold Betti number 



The first named author was supported by a Maria Skłodowska-Curie Outgoing Fellowship “Contact Manifolds.” He also would like to thank the University of Bayreuth for invitation, support of his visit and providing a nice and stimulating atmosphere for research.

Open Access

This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.


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Copyright information

© The Author(s) 2012

Authors and Affiliations

  1. 1.Institute of MathematicsPolish Academy of SciencesWarszawaPoland
  2. 2.Mathematisches InstitutUniversität BayreuthBayreuthGermany

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