On the number of ovals of a symmetry of a compact Riemann surface
Summary: Let \(X\) be a symmetric compact Riemann surface, the full group of conformal automorphisms of which is cyclic. We derive a formula for counting the number of ovals of the symmetries of \(X\) in terms of a few data of the monodromy of the covering \(X\rightarrow X/G\), where \(G=\text{Aut}^\pm X\) is the full group of conformal and anticonformal automorphisms of \(X\).
scientific article; zbMATH DE number 5361867
scientific article