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

Masato Kurihara

Research output: Contribution to journal › Article

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 languageEnglish
Pages (from-to)377-401
Number of pages25
JournalJournal de Theorie des Nombres de Bordeaux
Volume16
Issue number2
DOIs
Publication statusPublished - 2004
Externally publishedYes

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K-group
Local Ring
Valuation
Cohomology
Quotient
Module

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

On the structure of Milnor K-groups of certain complete discrete valuation fields. / Kurihara, Masato.

In: Journal de Theorie des Nombres de Bordeaux, Vol. 16, No. 2, 2004, p. 377-401.

Research output: Contribution to journal › Article

Kurihara, M 2004, 'On the structure of Milnor K-groups of certain complete discrete valuation fields', Journal de Theorie des Nombres de Bordeaux, vol. 16, no. 2, pp. 377-401. https://doi.org/10.5802/jtnb.452
Kurihara M. On the structure of Milnor K-groups of certain complete discrete valuation fields. Journal de Theorie des Nombres de Bordeaux. 2004;16(2):377-401. https://doi.org/10.5802/jtnb.452
Kurihara, Masato. / On the structure of Milnor K-groups of certain complete discrete valuation fields. In: Journal de Theorie des Nombres de Bordeaux. 2004 ; Vol. 16, No. 2. pp. 377-401.
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