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The Hard Lefschetz Theorem for Concave and Convex Algebraic Manifolds

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Complex Analysis

Part of the book series: Aspects of Mathematics ((ASMA,volume 1))

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Abstract

In this note we want to establish the hard Lefschetz theorem for the cases of concave and convex algebraic manifolds over ℂ. This classes of varieties admit a nice Hodge theory for the singular cohomology groups Hn(U,ℂ) with certain restrictions on n. “Nice” means that we have a behavior just like in the compact smooth case (see for instance [BK]1, [BK] 2, [KK]).

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References

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Author information

Authors and Affiliations

  1. Sonderforschungsbereich 170 “Geometrie und Analysis”, Mathematisches Institut Universität, Bunsenstraße 3/5, D-3400, Göttingen, Federal Republic of Germany

    Siegmund Kosarew

Authors
  1. Siegmund Kosarew
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik, Bergische Universität Gesamthochschule Wuppertal, Germany

    Klas Diederich

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© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Kosarew, S. (1991). The Hard Lefschetz Theorem for Concave and Convex Algebraic Manifolds. In: Diederich, K. (eds) Complex Analysis. Aspects of Mathematics, vol 1. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-86856-5_28

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  • DOI: https://doi.org/10.1007/978-3-322-86856-5_28

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-322-86858-9

  • Online ISBN: 978-3-322-86856-5

  • eBook Packages: Springer Book Archive

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