P-adic Schwarzian triangle groups of Mumford type
| dc.creator | Kato, Fumiharu | |
| dc.date | 1999-08-31 | |
| dc.date | 2000-06-25 | |
| dc.date.accessioned | 2026-07-07T05:30:35Z | |
| dc.date.available | 2026-07-07T05:30:35Z | |
| dc.description | In this article we discuss a certain p-adic analogue of classical Schwarzian triangle groups, an analogue which is related to Mumford's uniformization of p-adic analytic curves. p-adic Schwarzian triangle groups are defined to be the Galois groups of analytic coverings over projective line with precisely 3 branch points. We say that a p-adic triangle group is of Mumford type if the corresponding universal covering is given by a certain locally compact analytic subspace in projective line, related to Mumford's uniformization. The main theorem provides a complete classification of p-adic triangle groups of Mumford type; our list of these groups contains some of the arithmetic p-adic triangle groups which are discussed by Yves Andre. Notably, we deduce that p-adic triangle groups of Mumford type exist only if p=2,3,5. | |
| dc.description | 28 pages, 26 figures | |
| dc.identifier | https://arxiv.org/abs/math/9908174 | |
| dc.identifier | http://arxiv.org/abs/math/9908174 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79038 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Group Theory | |
| dc.title | P-adic Schwarzian triangle groups of Mumford type | |
| dc.type | text |