Lissite de la courbe de Hecke de GL(2) aux points Eisenstein critiques
| dc.creator | Bellaiche, Joel | |
| dc.creator | Chenevier, Gaetan | |
| dc.date | 2004-05-21 | |
| dc.date | 2004-06-17 | |
| dc.date.accessioned | 2026-07-07T05:08:27Z | |
| dc.date.available | 2026-07-07T05:08:27Z | |
| dc.description | Let p be a prime number and C be the p-adic tame level 1 eigencurve introduced by Coleman-Mazur. We prove that C is smooth at the evil Eisenstein points and we give necessary and sufficient conditions for etaleness of the map to the weight space at these points in terms of p-adic zeta values. A key step is the determination at these points of the schematic reducibility locus of the pseudo-character carried by C restricted to a decomposition group at p. Then, the smoothness appears to be a consequence of the fact that the Dirichlet L-functions only have simple zeros at integers. | |
| dc.description | 14 pages, LaTeX, french (second version: extended introduction, minor improvements) | |
| dc.identifier | https://arxiv.org/abs/math/0405415 | |
| dc.identifier | http://arxiv.org/abs/math/0405415 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71271 | |
| dc.subject | Number Theory | |
| dc.subject | 11F | |
| dc.title | Lissite de la courbe de Hecke de GL(2) aux points Eisenstein critiques | |
| dc.type | text |