A note on the $p$-adic Galois representations attached to Hilbert modular forms
Documenta mathematica, Tome 14 (2009), pp. 241-258
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We show that the p-adic Galois representations attached to Hilbert modular forms of motivic weight are potentially semistable at all places above p and are compatible with the local Langlands correspondence at these places, proving this for those forms not covered by the previous works of T. Saito and of D. Blasius and J. Rogawski.
DOI : 10.4171/dm/272
Classification : 11F41, 11F80
@article{10_4171_dm_272,
     author = {Christopher Skinner},
     title = {A note on the $p$-adic {Galois} representations attached to {Hilbert} modular forms},
     journal = {Documenta mathematica},
     pages = {241--258},
     year = {2009},
     volume = {14},
     doi = {10.4171/dm/272},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/272/}
}
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Christopher Skinner. A note on the $p$-adic Galois representations attached to Hilbert modular forms. Documenta mathematica, Tome 14 (2009), pp. 241-258. doi: 10.4171/dm/272

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