{ "id": "1311.0757", "version": "v3", "published": "2013-11-04T16:27:50.000Z", "updated": "2014-08-28T08:14:31.000Z", "title": "Computations with modified diagonals", "authors": [ "Kieran G. O'Grady" ], "comment": "Minor corrections", "journal": "Rendiconti Lincei Matematica e Applicazioni 25 (2014), pp. 249 - 274", "doi": "10.4171/RLM/677", "categories": [ "math.AG" ], "abstract": "Beauville and Voisin proved that the third modified diagonal of a complex K3 surface X represents a torsion class in the Chow group of X^3. Motivated by this result and by conjectures of Beauville and Voisin on the Chow ring of hyperkaehler varieties we prove some results on modified diagonals of projective varieties and we formulate a conjecture.", "revisions": [ { "version": "v2", "updated": "2013-11-13T16:12:09.000Z", "comment": "We revised the first version to take into account observations by Lie Fu, Ben Moonen and Charles Vial", "journal": null, "doi": null }, { "version": "v3", "updated": "2014-08-28T08:14:31.000Z" } ], "analyses": { "keywords": [ "computations", "complex k3 surface", "third modified diagonal", "conjecture", "hyperkaehler varieties" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.0757O" } } }