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

### Summary

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.

14C25, 14J28

### Keywords/Phrases

zero cycles, Bloch's conjecture, K3 surfaces