The triangulated category of K-motives DK_(k)
K-Theory and Homology
2014-02-18 v2 Algebraic Geometry
Algebraic Topology
Abstract
For any perfect field k a triangulated category of K-motives DK_(k) is constructed in the style of Voevodsky's construction of the category DM_(k). To each smooth k-variety X the K-motive is associated in the category DK_(k). Also, it is shown that K_n(X)=DK_(k)(M_K(X)[n],M_K(pt)), where K(X) is Quillen's K-theory of X.
Keywords
Cite
@article{arxiv.1302.2163,
title = {The triangulated category of K-motives DK_(k)},
author = {Grigory Garkusha and Ivan Panin},
journal= {arXiv preprint arXiv:1302.2163},
year = {2014}
}
Comments
The final revised version