On the structure of Milnor K-groups of certain complete discrete valuation fields
Journal de théorie des nombres de Bordeaux, Volume 16 (2004) no. 2, pp. 377-401.

For a typical example of a complete discrete valuation field K of type II in the sense of [12], we determine the graded quotients gr i K 2 (K) for all i>0. In the Appendix, we describe the Milnor K-groups of a certain local ring by using differential modules, which are related to the theory of syntomic cohomology.

Pour un exemple typique de corps de valuation discrète complet K de type II au sens de [12], nous déterminons les quotients gradués gr i K 2 (K) pour tout i>0. Dans l’appendice, nous décrivons les K-groupes de Milnor d’un certain anneau local à l’aide de modules de différentielles, qui sont liés à la théorie de la cohomologie syntomique.

DOI: 10.5802/jtnb.452
Masato Kurihara 1

1 Department of Mathematics, Tokyo Metropolitan University, Hachioji, Tokyo, 192-03, Japan
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Masato Kurihara. On the structure of Milnor $K$-groups of certain complete discrete valuation fields. Journal de théorie des nombres de Bordeaux, Volume 16 (2004) no. 2, pp. 377-401. doi : 10.5802/jtnb.452. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.452/

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