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The algebraic dimension of compact complex threefolds with vanishing second Betti number

  • Frédéric Campana (a1), Jean-Pierre Demailly (a2) and Thomas Peternell (a3)

Abstract

We study compact complex three-dimensional manifolds with vanishing second Betti number. In particular, we show that a compact complex manifold homeomorphic to the six-dimensional sphere does carry any non-constant meromorphic function.

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This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.

References

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Keywords

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The algebraic dimension of compact complex threefolds with vanishing second Betti number

  • Frédéric Campana (a1), Jean-Pierre Demailly (a2) and Thomas Peternell (a3)

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