Moduli of simple holomorphic pairs and effective divisors |
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Authors: | Siegmund Kosarew Paul Lupascu |
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Institution: | 1. Institut Fourier, Université de Grenoble 1, F-38402, Saint Martin d’Hères, France 2. Mathematisches Institut, Universit?t Zürich, Winterthurerstra?e 190, 8057-Zürich, Switzerland
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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.
The second author was partially supported by SNF, nr. 2000-055290.98/1. |
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Keywords: | and phrases" target="_blank"> and phrases moduli spaces simple holomorphic pairs divisors semiconnections holomorphic structures |
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