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On the Chow groups of some hyperkähler fourfolds with a non-symplectic involution
Preview AbstractThis paper concerns hyperkähler fourfolds X having a non-symplectic involution ι. The Bloch–Beilinson conjectures predict the way ι 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 consequences for the Chow ring of the quotient X/ι.