Moduli spaces of holomorphic triples over compact Riemann surfaces

@article{Bradlow2004ModuliSO,
  title={Moduli spaces of holomorphic triples over compact Riemann surfaces},
  author={Steven B. Bradlow and Oscar Garc{\'i}a-Prada and Peter B. Gothen},
  journal={Mathematische Annalen},
  year={2004},
  volume={328},
  pages={299-351}
}
Abstract.A holomorphic triple over a compact Riemann surface consists of two holomorphic vector bundles and a holomorphic map between them. After fixing the topological types of the bundles and a real parameter, there exist moduli spaces of stable holomorphic triples. In this paper we study non-emptiness, irreducibility, smoothness, and birational descriptions of these moduli spaces for a certain range of the parameter. Our results have important applications to the study of the moduli space of… CONTINUE READING

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