Symmetries of real cyclic p-gonal Riemann surfaces
2004 (English)In: Pacific Journal of Mathematics, ISSN 0030-8730, Vol. 213, no 2, 231-243 p.Article in journal (Refereed) Published
A closed Riemann surface X which can be realised as a p-sheeted covering of the Riemann sphere is called p-gonal, and such a covering is called a p-gonal morphism. A p-gonal Riemann surface is called real p-gonal if there is an ant iconformal involution (symmetry) σ of X commuting with the p-gonal morphism. If the p-gonal morphism is a cyclic regular covering the Riemann surface is called real cyclic p-gonal, otherwise it is called real generic p-gonal. The species of the symmetry σ is the number of connected components of the fixed point set Fix (σ) and the orientability of the Klein surface X/〈σ〉. In this paper we find the species for the possible symmetries of real cyclic p-gonal Riemann surfaces by means of Fuchsian and NEC groups.
Place, publisher, year, edition, pages
2004. Vol. 213, no 2, 231-243 p.
IdentifiersURN: urn:nbn:se:liu:diva-22658Local ID: 1945OAI: oai:DiVA.org:liu-22658DiVA: diva2:242971