Cyclic n-gonal Surfaces and their Automorphism Groups - UNED Geometry SeminarDisertaciones del Seminario de Matematicas Fundamentales (2010)
A cyclic n-gonal surface is a compact Riemann surface X of genus g≥2 admitting a cyclic group of conformal automorphisms C of order n such that the quotient space X/C has genus 0. In this paper, we provide an overview of ongoing research into automorphism groups of cyclic n-gonal surfaces. Much of the paper is expository or will appear in forthcoming papers, so proofs are usually omitted. Numerous explicit examples are presented illustrating the computational methods currently being used to study these surfaces.
- Riemann surface,
- cyclic n-gonal surface,
- automorphism group of surface
Citation InformationSean A Broughton and Aaron Wootton. "Cyclic n-gonal Surfaces and their Automorphism Groups - UNED Geometry Seminar" Disertaciones del Seminario de Matematicas Fundamentales Vol. 44 (2010) p. 1 - 38
Available at: http://works.bepress.com/allen_broughton/47/