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

Robert Laterveer

Institut de Recherche Mathématique Avancée, CNRS – Université de Strasbourg, 7 Rue René Descartes, 67084 Strasbourg Cedex, France

E-mail Address: robert.laterveer@math.unistra.fr

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https://doi.org/10.1142/S0129167X17500148Cited by:2 (Source: Crossref)

Abstract

This 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 $X / ι$ .

Keywords:

AMSC: 14C15, 14C25, 14C30

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