English

Holomorphic vector bundles on primary Kodaira surfaces

Complex Variables 2013-11-21 v1 Algebraic Geometry

Abstract

It is in general unknown which topological complex vector bundles on a non-algebraic surface admit holomorphic structures. We solve this problem for primary Kodaira surfaces by using results of Kani on curves of genus two with elliptic differentials. Some of the corresponding moduli spaces will be smooth compact and holomorphically symplectic.

Keywords

Cite

@article{arxiv.math/9909136,
  title  = {Holomorphic vector bundles on primary Kodaira surfaces},
  author = {Marian Aprodu and Vasile Brinzanescu and Matei Toma},
  journal= {arXiv preprint arXiv:math/9909136},
  year   = {2013}
}

Comments

10 pages, latex