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arXiv · 1712.05981

Algebraic cycles on certain hyperkaehler fourfolds with an order $3$ non-symplectic automorphism

Robert Laterveer
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Abstract

Let $X$ be a hyperk\"ahler variety, and assume $X$ has a non-symplectic automorphism $\sigma$ of order $>{1\over 2}\dim X$. Bloch's conjecture predicts that the quotient $X/<\sigma>$ should have trivial Chow group of $0$-cycles. We verify this for Fano varieties of lines on certain special cubic fourfolds having an order $3$ non--symplectic automorphism.

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Robert Laterveer. 2017-12-16. Algebraic cycles on certain hyperkaehler fourfolds with an order $3$ non-symplectic automorphism. https://arxiv.org/abs/1712.05981

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