Cyclic Trigonal Riemann Surfaces of Genus 4
2004 (English)Licentiate thesis, monograph (Other academic)
A closed Riemann surface which can be realized as a 3-sheeted covering of the Riemann sphere is called trigonal, and such a covering is called a trigonal morphism. Accola showed that the trigonal morphism is unique for Riemann surfaces of genus g ≥ 5. This thesis will characterize the Riemann surfaces of genus 4 wiht non-unique trigonal morphism. We will describe the structure of the space of cyclic trigonal Riemann surfaces of genus 4.
Place, publisher, year, edition, pages
Matematiska institutionen , 2004. , 54 p.
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1125
Riemann surface, trigonal morphism, Accola, genus 4
IdentifiersURN: urn:nbn:se:liu:diva-5678ISBN: 91-85295-68-XOAI: oai:DiVA.org:liu-5678DiVA: diva2:21438
2004-11-10, 00:00 (English)
Report code: LiU-Tek-Lic-2004:54. The electronic version of the printed licentiate thesis is a corrected version where errors in the calculations have been corrected. See Errata below for a list of corrections.2004-11-232004-11-232009-06-09