On the number of ovals of a symmetry of a compact Riemann surface
On the number of ovals of a symmetry of a compact Riemann surface
Let X be a symmetric compact Riemann surface whose full group of conformal automorphisms is cyclic. We derive a formula for counting the number of ovals of the symmetries of X in terms of few data of the monodromy of the covering X\rightarrow X/G , where G=\mathrm{Aut}^\pm X is the …