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
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)].
|Uncontrolled Keywords:||number of automorphisms; elliptic-hyperelliptic Klein surface; Teichm¨uller space|
|Subjects:||Sciences > Mathematics > Algebraic geometry|
|Deposited On:||11 Jun 2012 10:57|
|Last Modified:||08 May 2013 19:45|