{
  "id": "1012.5083",
  "version": "v3",
  "published": "2010-12-22T20:06:06.000Z",
  "updated": "2011-10-11T17:30:48.000Z",
  "title": "Homomorphisms of abelian varieties over geometric fields of finite characteristic",
  "authors": [
    "Yuri G. Zarhin"
  ],
  "comment": "10 pages, to appear in J. Institut Math. Jussieu",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We study analogues of Tate's conjecture on homomorphisms for abelian varieties when the ground field is finitely generated over an algebraic closure of a finite field. Our results cover the case of abelian varieties without nontrivial endomorphisms.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-10-11T17:30:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "14K15"
    ],
    "keywords": [
      "abelian varieties",
      "geometric fields",
      "finite characteristic",
      "homomorphisms",
      "nontrivial endomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.5083Z"
    }
  }
}