Modularity lifting in parallel weight one

Kassaei, Payman¹

¹ Department of Mathematics, King’s College London, Strand, London WC2R 2LS, United Kingdom

Journal of the American Mathematical Society, Tome 26 (2013) no. 1, pp. 199-225

Résumé

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.

Détail

DOI : 10.1090/S0894-0347-2012-00746-2

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