Companion forms over totally real fields, II
Toby Gee
Source: Duke Math. J. Volume 136, Number 2
(2007), 275-284.
Abstract
We prove a companion forms theorem for mod $l$ Hilbert modular forms. This work generalises results of Gross [Gr] and Coleman and Voloch [CV] for modular forms over ${\mathbb Q}$ and gives a new proof of their results in many cases. The methods used are completely different to previous work in this area and rely on modularity lifting theorems and the general theory of deformations of Galois representations
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1166711370
Digital Object Identifier: doi:10.1215/S0012-7094-07-13622-6
Mathematical Reviews number (MathSciNet): MR2286631
Zentralblatt MATH identifier: 1121.11039
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