Stable bundles on non-Kahler elliptic surfaces

Vasile Brinzanescu; Ruxandra Moraru

Stable bundles on non-Kahler elliptic surfaces

Algebraic Geometry 2007-05-23 v3 Complex Variables

Authors: Vasile Brinzanescu , Ruxandra Moraru

Abstract

In this paper, we study the moduli spaces $\mathcal{M}_{\delta,c_2}$ of stable rank-2 vector bundles on non-K\" ahler elliptic surfaces, thus giving a classification these bundles; in the case of Hopf and Kodaira surfaces, these moduli spaces admit the structure of an algebraically completely integrable Hamiltonian system.

Keywords

moduli spaces of vector bundles moduli spaces of sheaves higgs bundle

Cite

@article{arxiv.math/0306192,
  title  = {Stable bundles on non-Kahler elliptic surfaces},
  author = {Vasile Brinzanescu and Ruxandra Moraru},
  journal= {arXiv preprint arXiv:math/0306192},
  year   = {2007}
}

Comments

15 pages, shortened version, small corrections were made

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