Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic
| dc.creator | Cornelissen, Gunther | |
| dc.creator | Kato, Fumiharu | |
| dc.date | 2001-03-29 | |
| dc.date | 2001-08-24 | |
| dc.date.accessioned | 2026-07-07T04:40:50Z | |
| dc.date.available | 2026-07-07T04:40:50Z | |
| dc.description | We compute the dimension of the tangent space to, and the Krull dimension of the pro-representable hull of two deformation functors. The first one is the ``algebraic'' deformation functor of an ordinary curve X over a field of positive charateristic with prescribed action of a finite group G, and the data are computed in terms of the ramification behaviour of X -> G\X. The second one is the ``analytic'' deformation functor of a fixed embedding of a finitely generated discrete group N in PGL(2,K) over a non-archimedean valued field K, and the data are computed in terms of the Bass-Serre representation of N via a graph of groups. Finally, if F is a free subgroup of N such that N is contained in the normalizer of F in PGL(2,K), then the Mumford curve associated to F becomes equipped with an action of N/F, and we show that the algebraic functor deforming the latter action coincides with the analytic functor deforming the embedding of N. | |
| dc.description | 31 pages, version 2 contains major changes in section 4 on versal deformations | |
| dc.identifier | https://arxiv.org/abs/math/0103207 | |
| dc.identifier | http://arxiv.org/abs/math/0103207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61165 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G22, 14D15, 14H37 | |
| dc.title | Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic | |
| dc.type | text |