Symplectic automorphisms of K3 surfaces of arbitrary order

Abstract

It is observed that the recent result of Voisin and earlier ones of the author suffice to prove in complete generality that symplectic automorphisms of finite order of a K3 surface X act as identity on the Chow group CH^2(X) of zero-cycles.

References in corpus (2)

• Symplectic involutions of K3 surfaces act trivially on CH_0
• On the finite dimensionality of a K3 surface

Cited by in corpus (8)

• The Fourier transform for certain hyperKaehler fourfolds
• Classification of order sixteen non-symplectic automorphisms on K3 surfaces
• 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
• Zero-cycles on Garbagnati surfaces
• Algebraic cycles on some special hyperkähler varieties
• Bloch's conjecture for Catanese and Barlow surfaces