Weights in Serre's conjecture for Hilbert modular forms: the ramified case
| dc.creator | Schein, Michael M. | |
| dc.date | 2006-10-16 | |
| dc.date | 2007-12-30 | |
| dc.date.accessioned | 2026-07-07T08:51:30Z | |
| dc.date.available | 2026-07-07T08:51:30Z | |
| dc.description | Let F be a totally real field and p an odd prime. If r is a continuous, semisimple, totally odd mod p representation of the absolute Galois group of F which is tamely ramified at all places of F dividing p, then we formulate a conjecture specifying the weights for which r is modular. This extends the conjecture of Diamond, Buzzard, and Jarvis, which supposed that p was unramified in F. We also prove a theorem towards the conjecture and provide some computational evidence. | |
| dc.description | Notation improved and typos corrected; to appear in Israel J. Math | |
| dc.identifier | https://arxiv.org/abs/math/0610488 | |
| dc.identifier | http://arxiv.org/abs/math/0610488 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144957 | |
| dc.subject | Number Theory | |
| dc.subject | 11F80 | |
| dc.title | Weights in Serre's conjecture for Hilbert modular forms: the ramified case | |
| dc.type | text |