Companion Forms Over Totally Real Fields

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Companion Forms Over Totally Real Fields

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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.
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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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  • FAS Scholarly Articles [6463]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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