刊物主题:Mathematics Mathematics Algebraic Geometry Topological Groups and Lie Groups Geometry Number Theory Calculus of Variations and Optimal Control
出版者:Springer Berlin / Heidelberg
ISSN:1432-1785
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.