English

Non-flat extension of flat vector bundles

Complex Variables 2015-10-30 v2

Abstract

We construct a pair (E ,F), where E is a holomorphic vector bundle over a compact Riemann surface and F a holomorphic subbundle of E, such that both F and E/F admit holomorphic connections, but E does not.

Keywords

Cite

@article{arxiv.1409.3178,
  title  = {Non-flat extension of flat vector bundles},
  author = {Indranil Biswas and Viktoria Heu},
  journal= {arXiv preprint arXiv:1409.3178},
  year   = {2015}
}
R2 v1 2026-06-22T05:53:44.582Z