Abstract
For an arbitrary separated scheme of finite type over a finite field and a negative integer , we prove, under the assumption of resolution of singularities, that is canonically isomorphic to if or , and vanishes if and . As the group is explicitly known, this gives a explicit calculation of motivic homology of degree and weight or of an arbitrary scheme over a finite field.
Citation
Tohru Kohrita. "On some negative motivic homology groups." Ann. K-Theory 1 (1) 19 - 41, 2016. https://doi.org/10.2140/akt.2016.1.19
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