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

Krishna, Amalendu ; Park, Jinhyun (2012) Mixed motives over k[t]/(tm+1) Journal of the Institute of Mathematics of Jussieu, 11 (03). pp. 611-657. ISSN 1474-7480

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Official URL: https://www.cambridge.org/core/journals/journal-of...

Related URL: http://dx.doi.org/10.1017/S1474748011000181

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.

Item Type:Article
Source:Copyright of this article belongs to Cambridge University Press.
Keywords:Chow Group; Algebraic Cycle; Moving Lemma; Motive
ID Code:102458
Deposited On:09 Mar 2018 10:47
Last Modified:09 Mar 2018 10:47

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