On the K-theory of local fields

Details On the K-theory of local fields On the K-theory of local fields

1999-10-22

arxiv.org/abs/math/9910186v2

Ann. of Math. (2) 158 (2003), no. 1, 1--113

Mathematics

K-Theory and Homology

Abstract added in migration; 113 pages, published version

Scientific paper

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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