{
  "id": "0908.0626",
  "version": "v1",
  "published": "2009-08-05T09:27:35.000Z",
  "updated": "2009-08-05T09:27:35.000Z",
  "title": "Algebraic cycles on an abelian variety",
  "authors": [
    "Peter O'Sullivan"
  ],
  "comment": "73 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "It is shown that to every Q-linear cycle \\bar\\alpha modulo numerical equivalence on an abelian variety A there is canonically associated a Q-linear cycle \\alpha modulo rational equivalence on A lying above \\bar\\alpha. The assignment \\bar\\alpha -> \\alpha respects the algebraic operations and pullback and push forward along homomorphisms of abelian varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-05T09:27:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C25",
      "14K05",
      "18D10"
    ],
    "keywords": [
      "abelian variety",
      "algebraic cycles",
      "q-linear cycle",
      "modulo rational equivalence",
      "modulo numerical equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 73,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.0626O"
    }
  }
}