Global applications of relative (phi-Gamma)-modules I

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In this paper, given a smooth proper scheme X over a p-adic dvr and a p-power torsion etale local system L on it, we study a family of sheaves associated to the cohomology of local relative (Phi-Gamma)-modules of L and their cohomology. As applications we derive descriptions of the etale cohomology groups on the geometric generic fiber of X with values in L, as well as of their classical (Phi-Gamma)-modules, in terms of cohomology of the above mentioned sheaves.
78 pages

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Number Theory, Algebraic Geometry, 11G99,14F20,14F30

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http://salesiana.dossiersoluciones.com/handle/123456789/118073

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610692
 http://arxiv.org/abs/math/0610692

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arXiv