Symplectic Involutions of K3 Surfaces Act Trivially on CH_0

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.

2010 Mathematics Subject Classification: 14C25, 14J28

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