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

Robert Laterveer

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

Algebraic Geometry 2018-02-21 v1

Authors: Robert Laterveer

Abstract

Let $X$ be a hyperk\"ahler variety, and assume that $X$ admits a non-symplectic automorphism $\sigma$ of order $k>{1\over 2}\dim X$ . 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 cubic fourfolds having an order $3$ non-symplectic automorphism.

Keywords

algebraic cycles hyperkähler variety non-symplectic automorphism bloch conjecture chow group cubic fourfold fano variety of lines

Cite

@article{arxiv.1802.07030,
  title  = {Algebraic cycles on certain hyperkaehler fourfolds with an order $3$ non-symplectic automorphism II},
  author = {Robert Laterveer},
  journal= {arXiv preprint arXiv:1802.07030},
  year   = {2018}
}

Comments

To appear in Comm. Algebra, 28 pages. This is a sequel to arxiv:1712.05981, which explains the text overlap

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

Abstract

Keywords

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