On the K-theory of local fields

  title={On the K-theory of local fields},
  author={Lars Hesselholt and Ib Henning Madsen},
  journal={Annals of Mathematics},
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 
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