English

On Higgs bundles on Elliptic Surfaces

Algebraic Geometry 2015-04-17 v3

Abstract

The aim of this paper is to establish an equivalence of certain categories of Higgs bundles on a non-isotrivial elliptic surface π:XC\pi: X \rightarrow C with χ(X)>0\chi(X) > 0 and certain categories of Parabolic Higgs bundles on CC

Keywords

Cite

@article{arxiv.1403.3924,
  title  = {On Higgs bundles on Elliptic Surfaces},
  author = {Rohith Varma},
  journal= {arXiv preprint arXiv:1403.3924},
  year   = {2015}
}

Comments

16 pages, made changes in the exposition following referee comments, to appear in Quarterly Journal of Mathematics

R2 v1 2026-06-22T03:27:50.491Z