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arXiv:1704.01083 [math.AG]AbstractReferencesReviewsResources

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

Robert Laterveer

Published 2017-03-24Version 1

This note concerns hyperk\"ahler fourfolds $X$ having 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 consequences for the Chow ring of the quotient $X/\iota$.

Comments: To appear in International Journal of Math., 18 pages, comments welcome ! arXiv admin note: text overlap with arXiv:1703.03990
Categories: math.AG
Subjects: 14C15, 14C25, 14C30
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