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The triangulated category of K-motives

Published online by Cambridge University Press:  12 May 2014

Grigory Garkusha  and
Ivan Panin
Grigory Garkusha
Affiliation:
Department of Mathematics, Swansea University, Singleton Park, Swansea SA2 8PP, United Kingdomg.garkusha@swansea.ac.uk
Ivan Panin
Affiliation:
St. Petersburg Branch of V. A. Steklov Mathematical Institute, Fontanka 27, 191023 St. Petersburg, Russiapaniniv@gmail.com St. Petersburg State University, Department of Mathematics and Mechanics, Universitetsky prospekt, 28, 198504, Peterhof, St. Petersburg, Russiapaniniv@gmail.com
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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.

Keywords

Motivic homotopy theoryalgebraic K-theoryspectral categories14F4219E0855U35
Type
Research Article
Information
Journal of K-Theory , Volume 14 , Issue 1 , August 2014 , pp. 103 - 137
Copyright
Copyright © ISOPP 2014 

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