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

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