# Moduli of simple holomorphic pairs and effective divisors

Kosarew, Siegmund; Lupascu, Paul (2000). Moduli of simple holomorphic pairs and effective divisors. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 70(1):265-274.

## 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

## 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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