Smoothness and Classicality on eigenvarieties

Abstract : Let p be a prime number and f an overconvergent p-adic automorphic form on a definite unitary group which is split at p. Assume that f is of "classical weight" and that its Galois representation is crystalline at places dividing p, then f is conjectured to be a classical automorphic form. We prove new cases of this conjecture in arbitrary dimension by making crucial use of the "patched eigenvariety".
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Article dans une revue
Inventiones Mathematicae, Springer Verlag, 2016, 〈10.1007/s00222-016-0708-y〉
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https://hal.archives-ouvertes.fr/hal-01216803
Contributeur : Benjamin Schraen <>
Soumis le : samedi 17 octobre 2015 - 10:57:14
Dernière modification le : samedi 18 février 2017 - 01:10:53

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Benjamin Schraen, Christophe Breuil, Eugen Hellmann. Smoothness and Classicality on eigenvarieties. Inventiones Mathematicae, Springer Verlag, 2016, 〈10.1007/s00222-016-0708-y〉. 〈hal-01216803〉

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