On ovals on Riemann surfaces

  • Grzegorz Gromadzki

    University of Gdańsk, Poland


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

DOI 10.4171/RMI/282