On the Grassmannian homology of $\mathbbm{F}_2$ and $\mathbbm{F}_3$

Details On the Grassmannian homology of $\mathbbm{F}_2$ and $\mathbbm{F}_3$ On the Grassmannian homology of $\mathbbm{F}_2$ and $\mathbbm{F}_3$

2010-02-14

arxiv.org/abs/1002.2784v3

Mathematics

Algebraic Geometry

12 pages; comments are welcome

Scientific paper

We prove the vanishing of the subgroup of Bloch's cubical higher Chow groups
$CH^2(\text{Spec}(\MF_p),3)$, $p=2,3$, generated by the images of corresponding
projective Grassmannian homology groups ${}^PGH_1^2(\MF_p)$ using computer
calculations.

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