On the K-theory of local fields
On the K-theory of local fields
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关于局部场的 K 理论
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
I. Madsen
中科院分区：
文献类型：
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作者：
L. Hesselholt;I. Madsen
本文建立了某些局部域的Quillen K-理论与其在极大理想上具有对数极点的整数环的de Rham-Witt复形之间的联系。我们考虑的域K是特征为零的完全离散赋值域，其特征p > 2的完美剩余域k。当K含有p次单位根时，Z/p系数的K-理论与de Rham-Witt复形的关系可用一个数列来描述
In this paper we establish a connection between the Quillen K-theory of certain local fields and the de Rham-Witt complex of their rings of integers with logarithmic poles at the maximal ideal. The fieldsK we consider are complete discrete valuation fields of characteristic zero with perfect residue field k of characteristic p > 2. When K contains the pth roots of unity, the relationship between the K-theory with Z/p-coefficients and the de Rham-Witt complex can be described by a sequence