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The triangulated category of K-motives ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:4408:20160414111049956-0232:S1865243314000166_inline1.gif?pub-status=live)
Published online by Cambridge University Press: 12 May 2014
Abstract
For any perfect field k a triangulated category of K-motives is constructed in the style of Voevodsky's construction of the category
. To each smooth k-variety X the K-motive
is associated in the category
and
where pt = Spec(k) and K(X) is Quillen's K-theory of X.
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- Copyright © ISOPP 2014
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