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On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms


Gamboa, J. M. and Bujalance, E. and Cirre, J.F. and Gromadzki, G. (2006) On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms. Revista Matemática Iberoamericana, 301 (1). pp. 82-95. ISSN 0213-2230

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A Riemann surface X is said to be of type (n,m) if its full automorphism group AutX is cyclic of order n and the quotient surface X/AutX has genus m. In this paper we determine necessary and sufficient conditions on the integers n,m,g and γ, where n is odd, for the existence of a Riemann surface of genus g and type (n,m) admitting a symmetry with γ ovals.

Item Type:Article
Uncontrolled Keywords:Riemann surface; automorphism group; Fuchsian and nec groups; symmetry; ovals
Subjects:Sciences > Mathematics > Functions
ID Code:15234

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Deposited On:17 May 2012 08:37
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