{
  "id": "math/9804069",
  "version": "v1",
  "published": "1998-04-14T09:56:25.000Z",
  "updated": "1998-04-14T09:56:25.000Z",
  "title": "Rational points of the group of components of a Neron model",
  "authors": [
    "Siegfried Bosch",
    "Qing Liu"
  ],
  "comment": "16 pages",
  "journal": "Manuscripta Math., 98 (1999), 275-293",
  "doi": "10.1007/s002290050140",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Let A_K be an abelian variety over a discrete valuation field K. Let A be the Neron model of A_K over the ring of integers O_K of K and A_k its special fibre. We study the set of rational points of the group of components \\phi_A of A_k. In particular, we look at the cases where A_K is a Jacobian or where A_K is an abelian variety having semi-stable reduction. We also consider algebraic tori over K instead of abelian varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-04-14T09:56:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G20",
      "11G10",
      "14K15",
      "11G20"
    ],
    "keywords": [
      "neron model",
      "rational points",
      "abelian variety",
      "components",
      "discrete valuation field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......4069B"
    }
  }
}