Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case

Details Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case

2012-04-03

arxiv.org/abs/1204.0579v1

Mathematics

Number Theory

35 pages

Scientific paper

We extend the modularity lifting result of the arXiv:1111.2804 to allow
Galois representations with some ramification at p. We also prove modularity
mod 2 and 5 of certain Galois representations. We use these results to prove
many new cases of the strong Artin conjecture over totally real fields in which
5 is unramified.

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