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Mixed motives over k[t]/(tm+1)

Part of: $K$-theory in geometry Cycles and subschemes

Published online by Cambridge University Press:  03 January 2012

Amalendu Krishna  and
Jinhyun Park
Amalendu Krishna
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, 1 Homi Bhabha Road, Colaba, Mumbai, India (amal@math.tifr.res.in)
Jinhyun Park
Affiliation:
Department of Mathematical Sciences, KAIST, Yuseong-gu, Daejeon, 305-701, Republic of Korea (jinhyun@mathsci.kaist.ac.kr; jinhyun@kaist.edu)
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Abstract

For a perfect field k, we use the techniques of Bondal-Kapranov and Hanamura to construct a tensor triangulated category of mixed motives over the truncated polynomial ring k[t]/(tm+1). The extension groups in this category are given by Bloch's higher Chow groups and the additive higher Chow groups. The main new ingredient is the moving lemma for additive higher Chow groups by the authors and its refinements.

Keywords

Chow groupalgebraic cyclemoving lemmamotive

MSC classification

Secondary: 14C25: Algebraic cycles 19E15: Algebraic cycles and motivic cohomology
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 11 , Issue 3 , July 2012 , pp. 611 - 657
Copyright
Copyright © Cambridge University Press 2011

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