{
  "id": "math/0612263",
  "version": "v1",
  "published": "2006-12-10T20:43:11.000Z",
  "updated": "2006-12-10T20:43:11.000Z",
  "title": "The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields",
  "authors": [
    "Bjorn Poonen",
    "Jose Felipe Voloch"
  ],
  "comment": "17 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove that for a large class of subvarieties of abelian varieties over global function fields, the Brauer-Manin condition on adelic points cuts out exactly the rational points. This result is obtained from more general results concerning the intersection of the adelic points of a subvariety with the adelic closure of the group of rational points of the abelian variety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-10T20:43:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G35",
      "14G25",
      "14K12"
    ],
    "keywords": [
      "abelian variety",
      "brauer-manin obstruction",
      "subvariety",
      "rational points",
      "adelic points cuts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12263P"
    }
  }
}