{
  "id": "1310.5236",
  "version": "v1",
  "published": "2013-10-19T15:05:34.000Z",
  "updated": "2013-10-19T15:05:34.000Z",
  "title": "The Hodge group and endomorphism algebra of an Abelian variety",
  "authors": [
    "Mikhail Borovoi"
  ],
  "comment": "3 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "This is an English translation of the author's 1981 note in Russian, published in a Yaroslavl collection. We prove that if an Abelian variety over C has no nontrivial endomorphisms, then its Hodge group is Q-simple.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-19T15:05:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K99",
      "20G30"
    ],
    "keywords": [
      "hodge group",
      "abelian variety",
      "endomorphism algebra",
      "yaroslavl collection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.5236B"
    }
  }
}