MIXED MOTIVES OVER k[t]/(tm+1)

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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]/(t(m+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.
Publisher
CAMBRIDGE UNIV PRESS
Issue Date
2012-07
Language
English
Article Type
Article
Keywords

HIGHER CHOW GROUPS; TRIANGULATED CATEGORIES; ALGEBRAIC CYCLES; K-THEORY

Citation

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, v.11, no.3, pp.611 - 657

ISSN
1474-7480
DOI
10.1017/S1474748011000181
URI
http://hdl.handle.net/10203/101948
Appears in Collection
MA-Journal Papers(저널논문)
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