{ "id": "1802.08551", "version": "v1", "published": "2018-02-20T09:51:44.000Z", "updated": "2018-02-20T09:51:44.000Z", "title": "On the Chow groups of some hyperkaehler fourfolds with a non-symplectic involution II", "authors": [ "Robert Laterveer" ], "comment": "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", "categories": [ "math.AG" ], "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 $X/\\iota$.", "revisions": [ { "version": "v1", "updated": "2018-02-20T09:51:44.000Z" } ], "analyses": { "subjects": [ "14C15", "14C25", "14C30" ], "keywords": [ "chow groups", "non-symplectic involution", "hyperkaehler fourfolds", "bloch-beilinson conjectures predict", "main result" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }