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arXiv · 1308.0935

On some negative motivic homology groups

Tohru Kohrita
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Abstract

For an arbitrary separated scheme $X$ of finite type over a finite field $\mathbb F_q$ and an integer $j=-1,-2,$ we prove under the assumption of resolution of singularities, that the two groups $H_{-1}(X,\mathbb Z(j))$ and $H_{-1}(π_0(X),\mathbb Z(j))$ are canonically isomorphic. This gives an explicit computation of $H_{-1}(X,\mathbb Z(j)).$

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Tohru Kohrita. 2017-06-13. On some negative motivic homology groups. https://doi.org/10.2140/akt.2016.1.19

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