%0 Journal Article %A Gamboa Mutuberria, José Manuel %A Bujalance, E. %A Cirre, J.F. %A Gromadzki, G. %T On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms %D 2006 %@ 0213-2230 %U https://hdl.handle.net/20.500.14352/49928 %X 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. %~