On ovals on Riemann surfaces

Autores: Grzegorz Gromadzki
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 16, Nº 3, 2000, págs. 515-527
Idioma: inglés
DOI: 10.4171/rmi/282
Títulos paralelos:
- Ovalos en superficies de Riemann.
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Resumen
- 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.