On some negative motivic homology groups

Tohru Kohrita

doi:10.2140/akt.2016.1.19

On some negative motivic homology groups

K-Theory and Homology 2017-06-14 v2

Authors: 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 $H_{-1}(\pi_0(X),\mathbb Z(j))$ are canonically isomorphic. This gives an explicit computation of $H_{-1}(X,\mathbb Z(j)).$

Keywords

motivic homology separated scheme finite field resolution of singularities canonical isomorphism negative homology groups

Cite

@article{arxiv.1308.0935,
  title  = {On some negative motivic homology groups},
  author = {Tohru Kohrita},
  journal= {arXiv preprint arXiv:1308.0935},
  year   = {2017}
}

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Same as the published version except for a minor editorial difference

On some negative motivic homology groups

Abstract

Keywords

Cite

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