Abstract: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 transfers G. This generalises a result of Binda, Rülling and Saito that proves the same conclusion for r… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.