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Title:	Companion Forms Over Totally Real Fields
Author:	Gee, Toby
Citation:	Gee, Toby. 2008. Companion forms over totally real fields. Manuscripta Mathematica 125(1): 1-41.
Full Text & Related Files:	Gee - Companion forms.pdf (408.7Kb; PDF)
Abstract:	We show that if \(F\) is a totally real field in which \(p\) splits completely and \(f\) is a mod \(p\) Hilbert modular form with parallel weight \(2 < k < p\), which is ordinary at all primes dividing p and has tamely ramified Galois representation at all primes dividing p, then there is a “companion form” of parallel weight \(k′ := p + 1 − k\). This work generalises results of Gross and Coleman–Voloch for modular forms over \(Q\).
Published Version:	http://dx.doi.org/10.1007/s00229-007-0128-9
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:2943908

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  Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University

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