{
  "id": "1404.0829",
  "version": "v2",
  "published": "2014-04-03T10:16:35.000Z",
  "updated": "2014-07-09T20:01:29.000Z",
  "title": "Integer points on homogeneous varieties with two or more degrees",
  "authors": [
    "Julia Brandes"
  ],
  "comment": "Withdrawn due to a crucial error on page 8. Thanks to D.R. Heath-Brown for spotting this",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a revised version of Schmidt's treatment of forms in many variables, which allows us to prove a Hasse principle under more lenient conditions on the number of variables than what had previously been thought possible with these methods. Our results are generally comparable with recent advances in the field and supersede them in a number of cases.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-09T20:01:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D72",
      "11P55",
      "11E76"
    ],
    "keywords": [
      "integer points",
      "homogeneous varieties",
      "hasse principle",
      "lenient conditions",
      "schmidts treatment"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.0829B"
    }
  }
}