Symplectic involutions of K3 surfaces act trivially on CH_0

Abstract

Symplectic involutions of a K3 surface are those involutions which leave the holomorphic 2-form invariant. We show, as predicted by Bloch's conjecture, that they act trivially on the CH_0 group of the K3 surface. This was recently proved by Huybrechts and Kemeny for one of the three types of symplectic involutions.

Cited by in corpus (8)

• Algebraic cycles and Todorov surfaces
• Symplectic automorphisms of K3 surfaces of arbitrary order
• Bloch's conjecture for the surface of Craighero and Gattazzo
• Stable maps and singular curves on K3 surfaces
• On the action of symplectic automorphisms on the $C{H}_0$-groups of some hyper-Kähler fourfolds
• Rational maps from punctual Hilbert schemes of K3 surfaces
• On symplectic automorphisms of elliptic surfaces acting on ${\mathrm{CH}}_0$
• Bloch's conjecture for Catanese and Barlow surfaces