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

  • Toby Gee EMAIL logo and David Savitt
Published/Copyright: May 5, 2011
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Journal für die reine und angewandte Mathematik
From the journal Volume 2011 Issue 660

Abstract

We study the possible weights of an irreducible 2-dimensional modular mod p representation of Gal(/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.

Received: 2009-05-19
Revised: 2010-04-29
Published Online: 2011-05-05
Published in Print: 2011-November

© Walter de Gruyter Berlin · New York 2011

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