English

Higgs bundles over elliptic curves for complex reductive Lie groups

Algebraic Geometry 2018-04-19 v5

Abstract

We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the (normalization of) its moduli spaces and the associated Hitchin fibration. The case of trivial degree is covered by the work of Thaddeus in 2001. Our arguments are different from those of Thaddeus and cover arbitrary degree.

Keywords

Cite

@article{arxiv.1310.2168,
  title  = {Higgs bundles over elliptic curves for complex reductive Lie groups},
  author = {Emilio Franco and Oscar Garcia-Prada and P. E. Newstead},
  journal= {arXiv preprint arXiv:1310.2168},
  year   = {2018}
}

Comments

To appear in Glasgow Mathematical Journal

R2 v1 2026-06-22T01:42:36.764Z