arXiv Analytics

Sign in

arXiv:math/0610488 [math.NT]AbstractReferencesReviewsResources

Weights in Serre's conjecture for Hilbert modular forms: the ramified case

Michael M. Schein

Published 2006-10-16, updated 2007-12-30Version 2

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.

Comments: Notation improved and typos corrected; to appear in Israel J. Math
Categories: math.NT
Subjects: 11F80
Related articles: Most relevant | Search more
arXiv:0904.0043 [math.NT] (Published 2009-04-01, updated 2010-09-15)
Serre weights for mod p Hilbert modular forms: the totally ramified case
arXiv:math/0007211 [math.NT] (Published 2000-07-20)
Relatively projective groups as absolute Galois groups
arXiv:1211.5469 [math.NT] (Published 2012-11-23, updated 2015-07-02)
Galois action on knots I: Action of the absolute Galois group

Links

Toolbox