On the K-theory of local fields
K-Theory and Homology
2019-08-12 v2
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.
Keywords
Cite
@article{arxiv.math/9910186,
title = {On the K-theory of local fields},
author = {Lars Hesselholt and Ib Madsen},
journal= {arXiv preprint arXiv:math/9910186},
year = {2019}
}
Comments
Abstract added in migration; 113 pages, published version