Data di Pubblicazione:
2008
Citazione:
Global applications of relative (phi, Gamma)-modules I / F. Andreatta, A. Iovita. - In: ASTÉRISQUE. - ISSN 0303-1179. - 319:319(2008), pp. 339-420.
Abstract:
In this paper, given a smooth proper
scheme $X$ over a $p$-adic DVR and a $p$-power torsion \''etale
local system ${\bf L}$ on it, we study a family of sheaves
associated to the cohomology of local, relative
$(\phi,\Gamma)$-modules of ${\bf L}$ and their cohomology. As
applications we derive descriptions of the \''etale cohomology
groups on the geometric generic fiber of $X$ with values in ${\bf
L}$, as well as of their classical $(\phi,\Gamma)$-modules, in
terms of cohomology of the above mentioned sheaves.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
(phi, Gamma)-modules ; etale cohomology ; Fontaine sheaves ; Grothendieck topologies ; comparison isomorphisms
Elenco autori:
F. Andreatta, A. Iovita
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