Invariant Spin Structures on Riemann Surfaces
几何拓扑
2007-05-23 v3 代数几何
代数拓扑
摘要
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.
引用
@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}
}
备注
14 pages, 3 figures