arXiv:0904.0043 Abstract | arXiv Analytics

arXiv:0904.0043 [math.NT]Abstract References Reviews Resources

Serre weights for mod p Hilbert modular forms: the totally ramified case

Published 2009-04-01, updated 2010-09-15Version 2

We study the possible weights of an irreducible 2-dimensional modular mod p representation of the absolute Galois group of F, where F is a totally real field which is totally ramified at p, and the representation is tamely ramified at the prime above p. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of exceptions.

Comments: Essentially final version, to appear, J. Reine Angew. Math. This version does not incorporate any minor changes (e.g. typographical changes) made in proof

Categories: math.NT

Subjects: 11F80

Keywords: hilbert modular forms, totally ramified case, serre weights, absolute galois group, modular mod

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