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Families of trianguline representations and finite slope spaces

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 نشر من قبل Eugen Hellmann
 تاريخ النشر 2012
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 تأليف Eugen Hellmann




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We apply the theory of families of (phi,Gamma)-modules to trianguline families as defined by Chenevier. This yields a new definition of Kisins finite slope subspace as well as higher dimensional analogues. Especially we show that these finite slope spaces contain eigenvarieties for unitary groups as closed subspaces. This implies that the representations arising from overconvergent p-adic automorphic forms on certain unitary groups are trianguline when restricted to the local Galois group.

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