On Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphisms

Gamboa Mutuberria, José ManuelBujalance, E.Cirre, J.F.Gromadzki, G.2023-06-202023-06-2020060213-223010.1016/j.jalgebra.2006.03.019https://hdl.handle.net/20.500.14352/49928A 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.engOn Symmetries Of Compact Riemann Surfaces With Cyclic Groups Of Automorphismsjournal articlehttp://projecteuclid.org/euclid.rmi/1218475347http://projecteuclid.orgopen access517.547, 515.172Riemann surfaceautomorphism groupFuchsian and nec groupssymmetryovalsFunciones (Matemáticas)1202 Análisis y Análisis Funcional