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arXiv:1302.6531 [math.AG]AbstractReferencesReviewsResources

On the action of symplectic automorphisms on the $CH_0$-groups of some hyper-Kähler fourfolds

Lie Fu

Published 2013-02-26, updated 2014-11-10Version 2

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.

Comments: 26 pages. Final version. To appear in Mathematische Zeitschrift
Categories: math.AG
Subjects: 14C25, 14C30, 14J50, 14C15
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