Genus Zero Actions on Riemann Surfaces
| dc.creator | Kallel, Sadok | |
| dc.creator | Sjerve, Denis | |
| dc.date | 1999-12-21 | |
| dc.date.accessioned | 2026-07-07T05:32:25Z | |
| dc.date.available | 2026-07-07T05:32:25Z | |
| dc.description | In this paper we determine all finite groups G that can act on some compact Riemann surface M with the property that if H is any non-trivial subgroup of G, then the orbit surface M/H is the Riemann sphere. The idea is to look at the induced action on the vector space of holomorphic differentials on M (in the positive genus case) and then use the old-known (Wolf) classification of groups admitting fixed point-free linear actions. A description of the corresponding group actions is given in terms of Fuchsian representations. | |
| dc.description | 21 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/9912176 | |
| dc.identifier | http://arxiv.org/abs/math/9912176 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79650 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Genus Zero Actions on Riemann Surfaces | |
| dc.type | text |