On the action of symplectic automorphisms on the CH0-groups of some hyper-K\"ahler fourfolds
Abstract
We prove that for any polarized symplectic automorphism of the Fano variety of lines of a cubic fourfold (equipped with the Pl\"ucker polarization), the induced action on the Chow group of 0-cycles is identity, as predicted by Bloch-Beilinson conjecture.
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