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Moduli of simple holomorphic pairs and effective divisors

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Abstract

In this note we identify two complex structures (one is given by algebraic geometry, the other by gauge theory) on the set of isomorphism classes of holomorphic bundles with section on a given compact complex manifold. In the case ofline bundles, these complex spaces are shown to be isomorphic to a space of effective divisors on the manifold.

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Authors and Affiliations

  1. Institut Fourier, Université de Grenoble 1, F-38402, Saint Martin d’Hères, France

    Siegmund Kosarew

  2. Mathematisches Institut, Universität Zürich, Winterthurerstraße 190, 8057-Zürich, Switzerland

    Paul Lupascu

Authors
  1. Siegmund Kosarew
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  2. Paul Lupascu
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Corresponding authors

Correspondence to Siegmund Kosarew or Paul Lupascu.

Additional information

The second author was partially supported by SNF, nr. 2000-055290.98/1.

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Kosarew, S., Lupascu, P. Moduli of simple holomorphic pairs and effective divisors. Abh.Math.Semin.Univ.Hambg. 70, 265–274 (2000). https://doi.org/10.1007/BF02940918

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  • DOI: https://doi.org/10.1007/BF02940918

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