On the structure of Milnor K-groups of certain complete discrete valuation fields

Masato Kurihara

doi:10.5802/jtnb.452

On the structure of Milnor K-groups of certain complete discrete valuation fields

Masato Kurihara

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

For a typical example of a complete discrete valuation field K of type II in the sense of [12], we determine the graded quotients grⁱ K₂(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.

Original language	English
Pages (from-to)	377-401
Number of pages	25
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	16
Issue number	2
DOIs	https://doi.org/10.5802/jtnb.452
Publication status	Published - 2004
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.5802/jtnb.452

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AB - For a typical example of a complete discrete valuation field K of type II in the sense of [12], we determine the graded quotients gri K2(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.

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On the structure of Milnor K-groups of certain complete discrete valuation fields

Abstract

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