Reference : Unramifiedness of Galois representations attached to weight one Hilbert modular eigen... |

Scientific journals : Article | |||

Physical, chemical, mathematical & earth Sciences : Mathematics | |||

http://hdl.handle.net/10993/23094 | |||

Unramifiedness of Galois representations attached to weight one Hilbert modular eigenforms mod p | |

English | |

Dimitrov, Mladen [] | |

Wiese, Gabor [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] | |

2018 | |

Journal of the Institute of Mathematics of Jussieu | |

Cambridge University Press | |

1-26 | |

Yes | |

International | |

1474-7480 | |

1475-3030 | |

Cambridge | |

United Kingdom | |

[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 | |

http://hdl.handle.net/10993/23094 |

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