中文

Holomorphic vector bundles on primary Kodaira surfaces

复变函数 2013-11-21 v1 代数几何

摘要

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.

关键词

引用

@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}
}

备注

10 pages, latex