Mixed Motives over k[t]/(tm+1)k[t]/{(t^{m+1})}

preprint2010arXivOpen access

Abstract

For a perfect field kk, we construct a triangulated category of mixed motives over k[t]/(tm+1)k[t]/{(t^{m+1})}. The ext groups in this category are given by higher Chow groups, and additive higher Chow groups.

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