{
  "id": "2401.00537",
  "version": "v1",
  "published": "2023-12-31T16:51:56.000Z",
  "updated": "2023-12-31T16:51:56.000Z",
  "title": "Anisotropy of quadratic forms over a global field of odd characteristic is diophantine",
  "authors": [
    "Guang Hu"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that the anisotropy of quadratic forms over any global field of characteristic not equal to 2 is diophantine, by using a generalization of the method of Koenigsmann and some known results in diophantine sets and quadratic forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-31T16:51:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic forms",
      "global field",
      "odd characteristic",
      "anisotropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}