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Cohomology of arithmetic families of ( φ , Γ ) (\varphi , \Gamma ) -modules
Published Web Location
http://doi.org/10.1090/S0894-0347-2014-00794-3No data is associated with this publication.
Abstract
We prove the finiteness and compatibility with base change of the cohomology and the Iwasawa cohomology of arithmetic families of modules. Using this finiteness theorem, we show that a family of Galois representations that is densely pointwise refined in the sense of Mazur is actually trianguline as a family over a large subspace. In the case of the Coleman-Mazur eigencurve, we determine the behavior at all points.
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