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01405 am a22002293u 4500 |
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72027 |
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|a Kedlaya, Kiran S.
|e author
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|a Massachusetts Institute of Technology. Department of Mathematics
|e contributor
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|a Kedlaya, Kiran S.
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|a Kedlaya, Kiran S.
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|a Liu, Ruochuan
|e contributor
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|a Liu, Ruochuan
|e author
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|a On families of phi, Gamma-modules
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|a On families of φ,Γ-modules
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|b Mathematical Sciences Publishers,
|c 2012-08-08T15:11:24Z.
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| 856 |
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|z Get fulltext
|u http://hdl.handle.net/1721.1/72027
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|a http://msp.berkeley.edu/ant/2010/4-7/p06.xhtml
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|a Berger and Colmez (2008) formulated a theory of families of overconvergent étale (φ,Γ)-modules associated to families of p-adic Galois representations over p-adic Banach algebras. In contrast with the classical theory of (φ,Γ)-modules, the functor they obtain is not an equivalence of categories. In this paper, we prove that when the base is an affinoid space, every family of (overconvergent) étale (φ,Γ)-modules can locally be converted into a family of p-adic representations in a unique manner, providing the "local" equivalence. There is a global mod p obstruction related to the moduli of residual representations.
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|a en_US
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|a Article
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|t Algebra & Number Theory
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