Resumen de On ovals on Riemann surfaces

Grzegorz Gromadzki

• We prove that k (k > 9) non-conjugate symmetries of a Riemann surface of genus 9 have at most 2g - 2 + 2r-3(9 - k) ovals in total, where r is the smallest positive integer for which k <- 2r l. Furthermore we prove that for arbitrary k > 9 this bound is sharp for infinitely many values of g.