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arXiv · 1302.2163

The triangulated category of K-motives DK_(k)

Grigory Garkusha·Ivan Panin
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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.

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Grigory Garkusha, Ivan Panin. 2013-02-08. The triangulated category of K-motives DK_(k). https://arxiv.org/abs/1302.2163

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