English

Modularity lifting in parallel weight one

Number Theory 2012-07-30 v2 Algebraic Geometry

Abstract

We prove an analogue of the main result of Buzzard and Taylor (Annals of Mathematics 149 (1999), 905-919) for totally real fields in which p is unramified. This can be used to prove certain cases of the strong Artin conjecture over totally real fields.

Cite

@article{arxiv.1111.2804,
  title  = {Modularity lifting in parallel weight one},
  author = {Payman L. Kassaei},
  journal= {arXiv preprint arXiv:1111.2804},
  year   = {2012}
}

Comments

25 pages

R2 v1 2026-06-21T19:34:51.544Z