{
  "id": "2101.12174",
  "version": "v1",
  "published": "2021-01-28T18:28:01.000Z",
  "updated": "2021-01-28T18:28:01.000Z",
  "title": "Uniform bounds for the number of rational points on varieties over global fields",
  "authors": [
    "Marcelo Paredes",
    "Román Sasyk"
  ],
  "comment": "44 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We extend the work of Salberger, Walsh, and Castryck, Cluckers, Dittman and Nguyen on the determinant method of Heath-Brown and Salberger, to give uniform estimates for the number of rational points of bounded height on varieties defined over global fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-28T18:28:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational points",
      "global fields",
      "uniform bounds",
      "uniform estimates",
      "determinant method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}