English

On the Chow groups of some hyperk\"ahler fourfolds with a non-symplectic involution

Algebraic Geometry 2017-04-05 v1

Abstract

This note concerns hyperk\"ahler fourfolds XX having a non-symplectic involution ι\iota. The Bloch-Beilinson conjectures predict the way ι\iota should act on certain pieces of the Chow groups of XX. 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/ιX/\iota.

Keywords

Cite

@article{arxiv.1704.01083,
  title  = {On the Chow groups of some hyperk\"ahler fourfolds with a non-symplectic involution},
  author = {Robert Laterveer},
  journal= {arXiv preprint arXiv:1704.01083},
  year   = {2017}
}

Comments

To appear in International Journal of Math., 18 pages, comments welcome ! arXiv admin note: text overlap with arXiv:1703.03990