Unramified logarithmic Hodge–Witt cohomology and -invariance

• Published in: Forum of mathematics. Sigma Vol. 10
• Main Authors: Kai, Wataru, Otabe, Shusuke, Yamazaki, Takao
• Format: Journal Article
• Language: English
• Published: Cambridge Cambridge University Press 01.01.2022
• Subjects: Homology; Invariants; Isomorphism; Reciprocity; Sheaves

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 show that $G(\operatorname {Spec} k) \to G(X)$ is an isomorphism for any $\mathbb {P}^1$ -invariant Nisnevich sheaf with...