English

A Torelli theorem for moduli spaces of principal bundles over a curve

Algebraic Geometry 2011-02-14 v2

Abstract

Let X and X' be compact Riemann surfaces of genus at least 3, and let G and G' be nonabelian reductive complex groups. If one component M_G^d(X) of the moduli space for semistable principal G-bundles over X is isomorphic to another component M_{G'}^{d'}(X'), then X is isomorphic to X'.

Keywords

Cite

@article{arxiv.1003.4061,
  title  = {A Torelli theorem for moduli spaces of principal bundles over a curve},
  author = {Indranil Biswas and Norbert Hoffmann},
  journal= {arXiv preprint arXiv:1003.4061},
  year   = {2011}
}

Comments

v2: 19 pages. final version, accepted for publication in Ann. Inst. Fourier