Geometry & Topology Monographs 3 (2000) -
Invitation to higher local fields,
Part I, section 15, pages 123-135
On the structure of the Milnor K-groups of complete discrete valuation field
J. Nakamura
Abstract.
This work contains a list of all known results
on the quotient filtration on the Milnor K-groups
of a complete discrete valuation field
in terms of differential modules over the residue field .
Author's recent study of
the case of a tamely ramified field of characteristic 0 with residue field
of characteristic p by using an exponential map and a syntomic complex
is explained.
Keywords. Henselian discrete valuation fields, Milnor K-groups.
AMS subject classification. 19D45, 19D99, 19F99.
E-print: arXiv:math.NT/0012146
Jinya Nakamura
Department of Mathematics, University of Tokyo
3-8-1 Komaba Meguro-Ku 153-8914 Japan
Email: jinya@ms357.ms.u-tokyo.ac.jp
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