Article (Scientific journals)
Unramifiedness of Galois representations attached to weight one Hilbert modular eigenforms mod p
Dimitrov, Mladen; Wiese, Gabor
2020In Journal of the Institute of Mathematics of Jussieu, 19 (2), p. 281 - 306
Peer reviewed
 

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Abstract :
[en] The main result of this article states that the Galois representation attached to a Hilbert modular eigenform defined over F_p^bar of parallel weight 1 and level prime to p is unramified above p. This includes the important case of eigenforms that do not lift to Hilbert modular forms in characteristic 0 of parallel weight 1. The proof is based on the observation that parallel weight 1 forms in characteristic p embed into the ordinary part of parallel weight p forms in two different ways per prime dividing p, namely via `partial' Frobenius operators. MSC: 11F80 (primary); 11F41, 11F33 Keywords: Hilbert modular forms modulo p, weight one, Galois representations
Disciplines :
Mathematics
Author, co-author :
Dimitrov, Mladen
Wiese, Gabor  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
Unramifiedness of Galois representations attached to weight one Hilbert modular eigenforms mod p
Publication date :
March 2020
Journal title :
Journal of the Institute of Mathematics of Jussieu
ISSN :
1475-3030
Publisher :
Cambridge University Press, Cambridge, United Kingdom
Volume :
19
Issue :
2
Pages :
281 - 306
Peer reviewed :
Peer reviewed
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since 21 December 2015

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