Tempered fundamental group and metric graph of a Mumford curve
| dc.creator | Lepage, Emmanuel | |
| dc.date | 2008-11-19 | |
| dc.date.accessioned | 2026-07-07T10:19:32Z | |
| dc.date.available | 2026-07-07T10:19:32Z | |
| dc.description | This paper is an attempt to give some general results on the tempered fundamental group of a $p$-adic smooth algebraic varieties (which is a sort of analog of the topologic fundamental group of complex algebraic varieties in the p-adic world). The main result asserts that one can recover the metric structure of the graph of the stable model of a Mumford curve from the tempered fundamental group of this Mumford curve. We will also prove birational invariance, invariance by algebraically closed extensions and a Kuenneth formula for the tempered fundamental group. We will describe the tempered fundamental group of an abelian variety and link the tempered fundamental group of a curve to the tempered fundamental group of its Jacobian variety. | |
| dc.description | 39 pages | |
| dc.identifier | https://arxiv.org/abs/0811.3169 | |
| dc.identifier | http://arxiv.org/abs/0811.3169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174541 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Tempered fundamental group and metric graph of a Mumford curve | |
| dc.type | text |