# UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS MOD $p$ OF WEIGHT 1

@article{Dimitrov2018UNRAMIFIEDNESSOG,
title={UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ATTACHED TO HILBERT MODULAR FORMS MOD \$p\$ OF WEIGHT 1},
journal={Journal of the Institute of Mathematics of Jussieu},
year={2018},
volume={19},
pages={281 - 306}
}
• Published 31 August 2015
• Mathematics
• Journal of the Institute of Mathematics of Jussieu
The main result of this article states that the Galois representation attached to a Hilbert modular eigenform defined over $\overline{\mathbb{F}}_{p}$ 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…
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• Mathematics
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