Weights in Serre's conjecture for Hilbert modular forms: the ramified case
数论
2007-12-30 v2
摘要
Let F be a totally real field and p an odd prime. If r is a continuous, semisimple, totally odd mod p representation of the absolute Galois group of F which is tamely ramified at all places of F dividing p, then we formulate a conjecture specifying the weights for which r is modular. This extends the conjecture of Diamond, Buzzard, and Jarvis, which supposed that p was unramified in F. We also prove a theorem towards the conjecture and provide some computational evidence.
引用
@article{arxiv.math/0610488,
title = {Weights in Serre's conjecture for Hilbert modular forms: the ramified case},
author = {Michael M. Schein},
journal= {arXiv preprint arXiv:math/0610488},
year = {2007}
}
备注
Notation improved and typos corrected; to appear in Israel J. Math