Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field.~II
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 29, Tome 443 (2016), pp. 46-60
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Current paper describes the explicit formula of the Hibert pairing between Milnor $K$-group of multidimensional local field and polynomial formal module. This formula generalizes similar results
for one-dimensioinal case and multidimensional case of multiplicative group. A case of different characteristics of a field and its first residue field is considered.
@article{ZNSL_2016_443_a4,
author = {S. V. Vostokov and V. V. Volkov},
title = {Explicit form of the {Hilbert} symbol on polynomial formal module for multidimensional local {field.~II}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {46--60},
publisher = {mathdoc},
volume = {443},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_443_a4/}
}
TY - JOUR AU - S. V. Vostokov AU - V. V. Volkov TI - Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field.~II JO - Zapiski Nauchnykh Seminarov POMI PY - 2016 SP - 46 EP - 60 VL - 443 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2016_443_a4/ LA - ru ID - ZNSL_2016_443_a4 ER -
%0 Journal Article %A S. V. Vostokov %A V. V. Volkov %T Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field.~II %J Zapiski Nauchnykh Seminarov POMI %D 2016 %P 46-60 %V 443 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2016_443_a4/ %G ru %F ZNSL_2016_443_a4
S. V. Vostokov; V. V. Volkov. Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field.~II. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 29, Tome 443 (2016), pp. 46-60. http://geodesic.mathdoc.fr/item/ZNSL_2016_443_a4/