Geodesic
Generalized Artin--Hasse and Iwasawa formulas for the Hilbert symbol in a~higher local field.~II
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 183-196

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we consider the generalized Hilbert symbol in a higher local field of charactersitic 0 with the first residue field of characteristic 0 as well and with perfect last residue field of positive characteristic p which comes from higher local $p$-class field theory developed by I. Fesenko. Using the descent to a subfield of mixed characteristic we deduce from the generalized Artin–Hasse and Iwasawa formulas proved in a previous paper the corresponding Artin–Hasse and Iwasawa explicit reciprocity laws in the case under consideration. 
@article{ZNSL_2005_321_a7,
     author = {A. N. Zinoviev},
     title = {Generalized {Artin--Hasse} and {Iwasawa} formulas for the {Hilbert} symbol in a~higher local {field.~II}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {183--196},
     publisher = {mathdoc},
     volume = {321},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a7/}
}
TY  - JOUR
AU  - A. N. Zinoviev
TI  - Generalized Artin--Hasse and Iwasawa formulas for the Hilbert symbol in a~higher local field.~II
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2005
SP  - 183
EP  - 196
VL  - 321
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a7/
LA  - ru
ID  - ZNSL_2005_321_a7
ER  - 
%0 Journal Article
%A A. N. Zinoviev
%T Generalized Artin--Hasse and Iwasawa formulas for the Hilbert symbol in a~higher local field.~II
%J Zapiski Nauchnykh Seminarov POMI
%D 2005
%P 183-196
%V 321
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a7/
%G ru
%F ZNSL_2005_321_a7
A. N. Zinoviev. Generalized Artin--Hasse and Iwasawa formulas for the Hilbert symbol in a~higher local field.~II. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 183-196. http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a7/