English

Automorphism fixed points in the moduli space of semistable bundles

Algebraic Geometry 2007-05-23 v1 Quantum Algebra

Abstract

Given an automorphism of a smooth complex algebraic curve, there is an induced action on the moduli space of semi-stable rank 2 holomorphic bundles with fixed determinant. We give a complete description of the fixed variety in terms of moduli spaces of parabolic bundles on the quotient curve.

Keywords

Cite

@article{arxiv.math/0205099,
  title  = {Automorphism fixed points in the moduli space of semistable bundles},
  author = {Jorgen Ellegaard Andersen and Jakob Grove},
  journal= {arXiv preprint arXiv:math/0205099},
  year   = {2007}
}