# Companion Forms Over Totally Real Fields, II

 Title: Companion Forms Over Totally Real Fields, II Author: Gee, Toby Citation: Gee, Toby. 2007. Companion forms over totally real fields, II. Duke Mathematical Journal 136(2): 275-284. Full Text & Related Files: Gee - Companion forms II.pdf (160.2Kb; PDF) 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 $$Q$$ 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. Published Version: http://dx.doi.org/10.1215/S0012-7094-07-13622-6 Other Sources: http://www.math.harvard.edu/~tgee/ Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:2937560 Downloads of this work: