Biswas, Indranil and Gadgil, Siddhartha and Sankaran, Parameswaran
(2007)
*On theta characteristics of a compact Riemann surface.*
In: Bulletin Des Sciences Mathematiques, 131
(5).
pp. 493-499.

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## Abstract

Let /alpha be a nontrivial automorphism of a compact connected Riemann surface X of genus at least two. Assume that /alpha fixes each of the theta characteristics of X. We prove that X is hyperelliptic, and /alpha is the unique hyperelliptic involution of X.

Item Type: | Journal Article |
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Additional Information: | The copyright belongs to Elsevier Masson SAS. |

Keywords: | Theta characteristic;Riemann surface;Automorphism |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Depositing User: | Mr. Ramesh Chander |

Date Deposited: | 31 Jan 2008 |

Last Modified: | 19 Sep 2010 04:42 |

URI: | http://eprints.iisc.ac.in/id/eprint/12873 |

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