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

Robert Laterveer

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

Algebraic Geometry 2018-02-26 v1

Authors: Robert Laterveer

Abstract

This article is about hyperk\"ahler fourfolds $X$ admitting 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 some interesting consequences for the Chow ring of the quotient $X/\iota$ .

Keywords

hyperkähler fourfold non-symplectic involution chow group bloch-beilinson conjecture fano variety cubic fourfold

Cite

@article{arxiv.1802.08551,
  title  = {On the Chow groups of some hyperkaehler fourfolds with a non-symplectic involution II},
  author = {Robert Laterveer},
  journal= {arXiv preprint arXiv:1802.08551},
  year   = {2018}
}

Comments

To appear (in slightly different form) in Rocky Mountain J. of Math., 18 pages. This is a sequel to arxiv:1704.01083, which explains the text overlap. arXiv admin note: text overlap with arXiv:1802.07030, arXiv:1708.06092

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

Abstract

Keywords

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