Gamboa Mutuberria, José Manuel and Bujalance, E. and Etayo Gordejuela, J. Javier
(1986)
*Elliptic-Hyperelliptic Klein Surfaces With Many Automorphisms.*
Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 302
(10).
pp. 391-394.
ISSN 0764-4442

## Abstract

The authors establish that an elliptic-hyperelliptic Klein surface of genus p > 5 generically has at most 4(p-1)automorphisms, excepting the case X is orientable with 2 or

4 boundary components.

If X is orientable with 2 or 4 boundary components the authors describe the structure of the group of automorhisms.

They also prove that if X is an orientable elliptic-hyperelliptic Klein surface of genus p > 5 with 2 or 4 boundary components then the Teichm¨uller subset associated with X is a submanifold of dimension 1 of the Teichm¨uller space associated with X. The results obtained improve the

evaluations formerly obtained by C. L. May [Pac. J. Math. 59, 199-210 (1975; Zbl 0422.30037)].

Item Type: | Article |
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Uncontrolled Keywords: | number of automorphisms; elliptic-hyperelliptic Klein surface; Teichm¨uller space |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 15573 |

Deposited On: | 11 Jun 2012 08:57 |

Last Modified: | 08 May 2013 17:45 |

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