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Gamboa, J. M. 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 |
|---|---|
| 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: | 01 Mar 2016 18:00 |
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