{
  "id": "1203.4857",
  "version": "v1",
  "published": "2012-03-21T23:53:26.000Z",
  "updated": "2012-03-21T23:53:26.000Z",
  "title": "Tate twists of Hodge structures arising from abelian varieties of type IV",
  "authors": [
    "Salman Abdulali"
  ],
  "journal": "Journal of Pure and Applied Algebra 216 (2012), 1164-1170",
  "doi": "10.1016/j.jpaa.2011.10.005",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that certain abelian varieties A have the property that for every Hodge structure V in the cohomology of A, every effective Tate twist of V occurs in the cohomology of some abelian variety. We deduce the general Hodge conjecture for certain non-simple abelian varieties of type IV.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-21T23:53:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C30",
      "14K20"
    ],
    "keywords": [
      "abelian variety",
      "hodge structures arising",
      "non-simple abelian varieties",
      "general hodge conjecture",
      "cohomology"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.4857A"
    }
  }
}