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On the action of symplectic automorphisms on the $CH_0$-groups of some hyper-Kähler fourfolds
Published 26 Feb 2013 in math.AG | (1302.6531v2)
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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