{
  "id": "1001.3424",
  "version": "v5",
  "published": "2010-01-19T21:51:38.000Z",
  "updated": "2010-02-20T19:41:57.000Z",
  "title": "Endomorphisms of abelian varieties, cyclotomic extensions and Lie algebras",
  "authors": [
    "Yuri G. Zarhin"
  ],
  "comment": "9 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove an analogue of the Tate conjecture on homomorphisms of abelian varieties over infinite cyclotomic extensions of finitely generated fields of characteristic zero.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2010-02-20T19:41:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "14K15"
    ],
    "keywords": [
      "abelian varieties",
      "lie algebras",
      "endomorphisms",
      "infinite cyclotomic extensions",
      "tate conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1070/SM2010v201n12ABEH004132",
      "journal": "Sbornik: Mathematics",
      "year": 2011,
      "month": "Feb",
      "volume": 201,
      "number": 12,
      "pages": 1801
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011SbMat.201.1801Z"
    }
  }
}