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arXiv · 1704.01083

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

Robert Laterveer
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Abstract

This note 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 $X/ι$.

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Robert Laterveer. 2017-03-24. On the Chow groups of some hyperkähler fourfolds with a non-symplectic involution. https://doi.org/10.1142/s0129167x17500148

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