English

Holomorphic principal bundles over elliptic curves

Algebraic Geometry 2007-05-23 v1 High Energy Physics - Theory

Abstract

In this paper, the first of a series of three, we classify holomorphic principal G-bundles over an elliptic curve, where G is a reductive group. We also study the local and global properties of the moduli space of semistable G-bundles. We identify canonical representatives for each S-equivalence class of semistable G-bundles, and study their automorphism groups.

Keywords

Cite

@article{arxiv.math/9811130,
  title  = {Holomorphic principal bundles over elliptic curves},
  author = {Robert Friedman and John W. Morgan},
  journal= {arXiv preprint arXiv:math/9811130},
  year   = {2007}
}

Comments

68 pages, AMS-TeX, amsppt style

R2 v1 2026-07-22T18:00:58.741Z