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arXiv · 1112.5695

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

Toshiro Hiranouchi
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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 $K$.

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Toshiro Hiranouchi. 2011-12-24. Milnor $K$-groups modulo $p^n$ of a complete discrete valuation field. https://arxiv.org/abs/1112.5695

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