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On the K-theory of local fields

Lars Hesselholt·Ib Madsen
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Abstract

The authors 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. They consider fields K that are complete discrete valuation fields of characteristic zero with perfect residue fields k of characteristic p > 2. They evaluate the K-theory with Z/p^v-coefficients of K, and verify the Lichtenbaum-Quillen conjecture for K.

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Lars Hesselholt, Ib Madsen. 2004-01-22. On the K-theory of local fields. https://doi.org/10.4007/annals.2003.158.1

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