Syntomic complexes and p-adic nearby cycles

We compute syntomic cohomology of semistable affinoids in terms of cohomology of ( φ , Γ ) -modules which, thanks to work of Fontaine–Herr, Andreatta–Iovita, and Kedlaya–Liu, is known to compute Galois cohomology of these affinoids. For a semistable scheme over a mixed characteristic local ring this...

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Bibliographic Details

Published in:	Inventiones mathematicae Vol. 208; no. 1; pp. 1 - 108
Main Authors:	Colmez, Pierre, Nizioł, Wiesława
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2017 Springer Verlag
Subjects:	Algebraic Geometry Constants Homology Isomorphism Mathematical analysis Mathematics Mathematics and Statistics Number Theory Rings (mathematics) Sheaves Texts Topology
ISSN:	0020-9910, 1432-1297
Online Access:	Get full text
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