Closed Riemann surfaces with dihedral groups of conformal automorphisms

• Autores: Rubén Antonio Hidalgo
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 15, Nº. 1, 1996, págs. 47-90
• Idioma: inglés
• DOI: 10.22199/S07160917.1996.0001.00004
• Enlaces
  • Texto completo
• Resumen

  • In these notes we show that if H is a group of conformal automorphisms, isomorphic to a dihedral group, acting free fixed points on a closed Riemann surface S, then there is a Schottky uniformization of S for which H lifts. We also give an explicit example of a dihedral group for which the above lifting property fails, showing in this way that condition (A) of [4] is not sufficient in general.

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