Moduli of simple holomorphic pairs and effective divisors

Details Moduli of simple holomorphic pairs and effective divisors Moduli of simple holomorphic pairs and effective divisors

1999-11-14

arxiv.org/abs/math/9911096v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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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