Milnor $K$-groups modulo $p^{n}$ of a complete discrete valuation field

Milnor $K$-groups modulo $p^{n}$ of a complete discrete valuation field

For a mixed characteristic complete discrete valuation field K which contains a p^{n}-th root of unity, we determine the graded quotients of the filtration on the Milnor K-groups K_{q}^{M}(K) modulo p^{n} in terms of differential forms of the residue field of K.

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Veröffentlicht in:Proceedings of the Japan Academy. Series A. Mathematical sciences 2012-04, Vol.88 (4), p.59-61
1. Verfasser: Hiranouchi, Toshiro
Format: Artikel
Sprache:eng
Schlagworte:
19D45
19F15
complete discrete valuation field
Milnor K-groups
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Zusammenfassung:For a mixed characteristic complete discrete valuation field K which contains a p^{n}-th root of unity, we determine the graded quotients of the filtration on the Milnor K-groups K_{q}^{M}(K) modulo p^{n} in terms of differential forms of the residue field of K.
ISSN:0386-2194
DOI:10.3792/pjaa.88.59