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

Toshiro Hiranouchi

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

K-Theory and Homology 2011-12-30 v1 Number Theory

Authors: Toshiro Hiranouchi

Abstract

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 $K$ .

Keywords

Milnor K-groups complete discrete valuation field mixed characteristic differential forms graded quotients filtration

Cite

@article{arxiv.1112.5695,
  title  = {Milnor $K$-groups modulo $p^n$ of a complete discrete valuation field},
  author = {Toshiro Hiranouchi},
  journal= {arXiv preprint arXiv:1112.5695},
  year   = {2011}
}

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