A note on the -adic Galois representations attached to Hilbert modular forms.
Skinner, Christopher (2009)
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Skinner, Christopher (2009)
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Annales de la faculté des sciences de Toulouse Mathématiques
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We prove the compatibility of the local and global Langlands correspondences at places dividing for the -adic Galois representations associated to regular algebraic conjugate self-dual cuspidal automorphic representations of over an imaginary CM field, under the assumption that the automorphic representations have Iwahori-fixed vectors at places dividing and have Shin-regular weight.
B. Mazur, A. Wiles (1986)
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Wintenberger, J.-P. (2007)
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B. Mazur (1990)
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