On pq-hyperelliptic Klein surfaces

• Autores: Grzegorz Gromadzki, Ewa Tyszkowska
• Localización: Manuscripta mathematica, ISSN 0025-2611, Vol. 122, Nº. 3, 2007, págs. 341-352
• Idioma: inglés
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• Resumen

  • In this paper we study compact Klein surfaces of algebraic genus d > 1 admitting p- and q-hyperelliptic involutions by which we mean involutions with the orbit spaces having algebraic genera p and q. We give necessary and sufficient conditions for p, q and d to exist such surfaces. It turns out that these conditions are also sufficient for the existence of such surfaces with commuting involutions what allow us to study this class also. We study the spectrum of hyperellipticity degrees of the product of these involutions and topological type of these surfaces.