Unramified logarithmic Hodge-Witt cohomology and ${\mathbb{P}}^1$-invariance

Wataru Kai, Shusuke Otabe, Takao Yamazaki

Let $X$ be a smooth proper variety over a field $k$ and suppose that the degree map ${\mathrm{CH}}_0(X{\otimes }_{k}K)\to \mathbb{Z}$ is isomorphic for any field extension $K/k$. We sh…