Geodesic
Higher fields of norms and $(\varphi,\Gamma)$-modules
Documenta mathematica, John H. Coates' Sixtieth Birthday (2006), pp. 685-709.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We describe a generalisation of the Fontaine-Wintenberger theory of the "field of norms" functor to local fields with imperfect residue field, generalising work of Abrashkin for higher dimensional local fields. We also compute the cohomology of associated $p$-adic Galois representations using $(\phi,\Gamma)$-modules.
Classification : 11S15, 11S23, 11S25, 12G05
Keywords: local fields, ramification theory, Galois representations 
@article{DOCMA_2006__S5__a4,
     author = {Scholl, Anthony J.},
     title = {Higher fields of norms and $(\varphi,\Gamma)$-modules},
     journal = {Documenta mathematica},
     pages = {685--709},
     publisher = {mathdoc},
     volume = {John H. Coates' Sixtieth Birthday},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2006__S5__a4/}
}
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Scholl, Anthony J. Higher fields of norms and $(\varphi,\Gamma)$-modules. Documenta mathematica, John H. Coates' Sixtieth Birthday (2006), pp. 685-709. http://geodesic.mathdoc.fr/item/DOCMA_2006__S5__a4/