We prove that non-conjugate symmetries of a Riemann surface of genus have at most ovals in total, where is the smallest positive integer for which . Furthermore we prove that for arbitrary this bound is sharp for infinitely many values of .
Cite this article
Grzegorz Gromadzki, On ovals on Riemann surfaces. Rev. Mat. Iberoam. 16 (2000), no. 3, pp. 515–527