{
  "id": "2202.11344",
  "version": "v1",
  "published": "2022-02-23T08:02:20.000Z",
  "updated": "2022-02-23T08:02:20.000Z",
  "title": "The Kakeya conjecture on local fields of positive characteristic",
  "authors": [
    "Alejo Salvatore"
  ],
  "comment": "6 pages, no figures",
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "We state and prove an analogue of the Kakeya conjecture for the local field $\\mathbb{F}_q(\\!(t)\\!)$. This extends Arsovski's result on the Kakeya conjecture to local fields of positive characteristic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-23T08:02:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S05",
      "11S31",
      "28A78"
    ],
    "keywords": [
      "kakeya conjecture",
      "local field",
      "positive characteristic",
      "extends arsovskis result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}