Invariant Spin Structures on Riemann Surfaces

Sadok Kallel; Denis Sjerve

Invariant Spin Structures on Riemann Surfaces

Geometric Topology 2007-05-23 v3 Algebraic Geometry Algebraic Topology

Authors: Sadok Kallel , Denis Sjerve

Abstract

We investigate the action of the automorphism group of a closed Riemann surface on its set of theta characteristics (or spin structures). We give criteria for when an automorphism fixes all spin structures, or when it fixes just one. The case of hyperelliptic curves and of the Klein quartic are discussed in detail.

Keywords

automorphisms of algebraic surfaces automorphism groups surface theory

Cite

@article{arxiv.math/0610568,
  title  = {Invariant Spin Structures on Riemann Surfaces},
  author = {Sadok Kallel and Denis Sjerve},
  journal= {arXiv preprint arXiv:math/0610568},
  year   = {2007}
}

Comments

14 pages, 3 figures

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