On pq-hyperelliptic Klein surfaces

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• 作者：Grzegorz Gromadzki and Ewa Tyszkowska
• 关键词：Mathematics Subject Classification (1991) Primary 30F50 ; Secondary 14H45
• 刊名：manuscripta mathematica
• 出版年：2007
• 出版时间：March, 2007
• 年：2007
• 卷：122
• 期：3
• 页码：341-352
• 全文大小：169 KB

文摘

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.