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arXiv · 1802.08551

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

Robert Laterveer
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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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Robert Laterveer. 2018-02-20. On the Chow groups of some hyperkaehler fourfolds with a non-symplectic involution II. https://arxiv.org/abs/1802.08551

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