On symmetries of pq-hyperelliptic Riemann surfaces

• Tyszkowska, Ewa ^[1]
  1. [1] University of Gdańsk

     University of Gdańsk

     Gdańsk, Polonia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 25, Nº. 2, 2006, págs. 179-189
• Idioma: inglés
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• Resumen

  • A symmetry of a Riemann surface X is an antiholomorphic involution φ. The species of φ is the integer εk, where k is the number of connected components in the set Fix(φ) of fixed points of φ and ε = -1 if X \ Fix(φ) is connected and ε = 1 otherwise. A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if it admits a conformal involution ρ, called a p-hyperelliptic involution, for which X/ρ is an orbifold of genus p. Symmetries of p-hyperelliptic Riemann surfaces has been studied by Klein for p = 0 and by Bujalance and Costa for p > 0. Here we study the species of symmetries of so called pq-hyperelliptic surface defined as a Riemann surface which is p- and q-hyperelliptic simultaneously