Note sur la détermination algébrique du groupe fondamental pro-résoluble d'une courbe affine
| dc.creator | Borne, Niels | |
| dc.creator | Emsalem, Michel | |
| dc.date | 2007-08-01 | |
| dc.date | 2008-05-07 | |
| dc.date.accessioned | 2026-07-07T09:37:09Z | |
| dc.date.available | 2026-07-07T09:37:09Z | |
| dc.description | Let X be a smooth projective algebraic curve of genus g minus $r\geq 1$ points defined over an algebraically closed field k of characteristic $p\geq 0$. The structure of the largest prime to p quotient of the étale fundamental group is well known by transcendental methods : it is isomorphic to the largest prime to p quotient of a free pro-finite group on 2g+r-1 generators. We show that, with purely algebraic means, we can prove the corresponding result for the largest pro-solvable quotient of these groups. | |
| dc.description | v2, minor changes, exposition improved | |
| dc.identifier | https://arxiv.org/abs/0708.0093 | |
| dc.identifier | http://arxiv.org/abs/0708.0093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160359 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.title | Note sur la détermination algébrique du groupe fondamental pro-résoluble d'une courbe affine | |
| dc.type | text |