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

2018/02/20 by Laterveer, Robert
#14C15 #14C25 #14C30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.08551

Abstract

This article is about hyperkähler fourfolds X admitting 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 some interesting consequences for the Chow ring of the quotient X/ι.

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