Embedding of category of twisted Chow-Witt correspondences into geometric stable $\A^1$-derived category over a field

Details Embedding of category of twisted Chow-Witt correspondences into geometric stable $\A^1$-derived category over a field Embedding of category of twisted Chow-Witt correspondences into geometric stable $\A^1$-derived category over a field

2012-04-12

arxiv.org/abs/1204.2787v2

Mathematics

Algebraic Geometry

15 pages, comments welcome

Scientific paper

We introduce in this note the notion of the category of twisted Chow-Witt
correspondences $CHW(k)$ over a field $k$ of characteristic different from 2.
Moreover, we show that this category $CHW(k)$ admits a fully faithful embedding
into the geometric stable $\A^1$-derived category $D_{\A^1,gm}(k)$, if $k$ is
an infinite perfect field of $char(k) \neq 2$.

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