Voisin, Claire

Symplectic involutions of $K3$ surfaces act trivially on $\mathrm{CH}_0$

Doc. Math., J. DMV 17, 851-860 (2012)


Summary: A symplectic involution on a $K3$ surface is an involution which preserves the holomorphic 2-form. We prove that such a symplectic involution acts as the identity on the $CH_0$ group of the $K3$ surface, as predicted by Bloch's conjecture.

Mathematics Subject Classification

14C25, 14J28


zero cycles, Bloch's conjecture, K3 surfaces