{
  "id": "1504.07040",
  "version": "v1",
  "published": "2015-04-27T11:59:51.000Z",
  "updated": "2015-04-27T11:59:51.000Z",
  "title": "Computing integral points on hyperelliptic curves using quadratic Chabauty",
  "authors": [
    "Jennifer S. Balakrishnan",
    "Amnon Besser",
    "J. Steffen Müller"
  ],
  "comment": "32 pages, comments welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a method for the computation of integral points on a hyperelliptic curve of odd degree over the rationals whose genus equals the Mordell-Weil rank of its Jacobian. Our approach consists of a combination of the $p$-adic approximation techniques introduced in previous work with the Mordell-Weil sieve",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-27T11:59:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G30",
      "11S80",
      "11Y50",
      "14G40"
    ],
    "keywords": [
      "computing integral points",
      "hyperelliptic curve",
      "quadratic chabauty",
      "adic approximation techniques",
      "genus equals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150407040B"
    }
  }
}