Hyperbolic Schwarz map for the hypergeometric differential equation
| dc.creator | Sasaki, Takeshi | |
| dc.creator | Yamada, Kotaro | |
| dc.creator | Yoshida, Masaaki | |
| dc.date | 2006-09-07 | |
| dc.date | 2007-02-28 | |
| dc.date.accessioned | 2026-07-07T07:49:07Z | |
| dc.date.available | 2026-07-07T07:49:07Z | |
| dc.description | The Schwarz map of the hypergeometric differential equation is studied since the beginning of the last century. Its target is the complex projective line, the 2-sphere. This paper introduces the hyperbolic Schwarz map, whose target is the hyperbolic 3-space. This map can be considered to be a lifting to the 3-space of the Schwarz map. This paper studies the singularities of this map, and visualize its image when the monodromy group is a finite group or a typical Fuchsian group. General cases will be treated in a forthcoming paper. | |
| dc.description | 16 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/math/0609196 | |
| dc.identifier | http://arxiv.org/abs/math/0609196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124733 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 33C05, 53C42 | |
| dc.title | Hyperbolic Schwarz map for the hypergeometric differential equation | |
| dc.type | text |