On the Chow groups of some hyperkaehler fourfolds with a non-symplectic involution II

Abstract

This article is about hyperkähler fourfolds $X$ admitting a non-symplectic involution $\iota$. The Bloch-Beilinson conjectures predict the way $\iota$ should act on certain pieces of the Chow groups of $X$. The main result is a verification of this prediction for Fano varieties of lines on certain cubic fourfolds. This has some interesting consequences for the Chow ring of the quotient $X/\iota$.

arXiv commentTo appear (in slightly different form) in Rocky Mountain J. of Math., 18 pages. This is a sequel to arxiv:1704.01083, which explains the text overlap. arXiv admin note: text overlap with arXiv:1802.07030, arXiv:1708.06092