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

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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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ASJC Scopus subject areas

  • Algebra and Number Theory

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