{
  "id": "math/0406273",
  "version": "v1",
  "published": "2004-06-14T15:28:55.000Z",
  "updated": "2004-06-14T15:28:55.000Z",
  "title": "Homomorphisms of abelian varieties",
  "authors": [
    "Yuri G. Zarhin"
  ],
  "comment": "23 pages, to appear in the Proceedings of ``Arithmetic, Geometry and Coding Theory - 9\" conference (Luminy, May 2003)",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We discuss Galois properties of points of prime order on an abelian variety that imply the simplicity of its endomorphism algebra. Applications to hyperelliptic jacobians are given. In particular, we improve some of our earlier results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-14T15:28:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H40",
      "14K05",
      "11G30"
    ],
    "keywords": [
      "abelian variety",
      "homomorphisms",
      "galois properties",
      "prime order",
      "endomorphism algebra"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6273Z"
    }
  }
}