Invitation to higher local fields, Part I, section 15: On the structure of the Milnor K-groups of complete discrete valuation fields

Details Invitation to higher local fields, Part I, section 15: On the structure of the Milnor K-groups of complete discrete valuation fields Invitation to higher local fields, Part I, section 15: On the structure of the Milnor K-groups of complete discrete valuation fields

2000-12-18

arxiv.org/abs/math/0012146v1

Geom. Topol. Monogr. Volume 3(2000) 123-135

Mathematics

Number Theory

For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwi

Scientific paper

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.

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