Modularity lifting in parallel weight one
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- by Payman L Kassaei
- J. Amer. Math. Soc. 26 (2013), 199-225
- DOI: https://doi.org/10.1090/S0894-0347-2012-00746-2
- Published electronically: July 13, 2012
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Abstract:
We prove an analogue of a modularity lifting result of Buzzard and Taylor 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.References
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Bibliographic Information
- Payman L Kassaei
- Affiliation: Department of Mathematics, King’s College London, Strand, London WC2R 2LS, United Kingdom
- Email: payman.kassaei@kcl.ac.uk
- Received by editor(s): October 27, 2011
- Received by editor(s) in revised form: June 1, 2012
- Published electronically: July 13, 2012
- Additional Notes: This work was supported by EPSRC Grant EP/H019537/1.
- © Copyright 2012 American Mathematical Society
- Journal: J. Amer. Math. Soc. 26 (2013), 199-225
- MSC (2010): Primary 11F80, 11F33, 11F41; Secondary 11G18, 14G35, 14G22
- DOI: https://doi.org/10.1090/S0894-0347-2012-00746-2
- MathSciNet review: 2983010