{
  "id": "math/0701093",
  "version": "v3",
  "published": "2007-01-03T13:54:33.000Z",
  "updated": "2007-01-05T15:22:22.000Z",
  "title": "The density of integral points on complete intersections",
  "authors": [
    "Oscar Marmon"
  ],
  "comment": "24 pages, Appendix by Per Salberger; typos corrected",
  "journal": "Q. J. Math. 59 (2008), 29-53.",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper, an upper bound for the number of integral points of bounded height on an affine complete intersection defined over $\\mathbb{Z}$ is proven. The proof uses an extension to complete intersections of the method used for hypersurfaces by Heath-Brown, the so called q-analogue of van der Corput's AB process.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-01-05T15:22:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G35",
      "11D72"
    ],
    "keywords": [
      "integral points",
      "van der corputs ab process",
      "upper bound",
      "affine complete intersection"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1093M"
    }
  }
}