{
  "id": "1510.01995",
  "version": "v1",
  "published": "2015-10-07T15:48:20.000Z",
  "updated": "2015-10-07T15:48:20.000Z",
  "title": "Local-to-global computation of integral bases without a previous factorization of the discriminant",
  "authors": [
    "Jordi Guàrdia",
    "Enric Nart"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We adapt an old local-to-global technique of Ore to compute, under certain mild assumptions, an integral basis of a number field without a previous factorization of the discriminant of the defining polynomial. In a first phase, the method yields as a by-product successive splittings of the discriminant. When this phase concludes, it requires a squarefree factorization of some base factors of the discriminant to terminate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-07T15:48:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral basis",
      "local-to-global computation",
      "discriminant",
      "old local-to-global technique",
      "base factors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}