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Moduli of simple holomorphic pairs and effective divisors

Siegmund Kosarew·Paul Lupascu
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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 of line bundles, these complex spaces are shown to be isomorphic to a space of effective divisors on the manifold.

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Siegmund Kosarew, Paul Lupascu. 1999-11-14. Moduli of simple holomorphic pairs and effective divisors. https://arxiv.org/abs/math/9911096

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