{
  "id": "2310.14739",
  "version": "v1",
  "published": "2023-10-23T09:19:26.000Z",
  "updated": "2023-10-23T09:19:26.000Z",
  "title": "Regular ovoids and Cameron-Liebler sets of generators in polar spaces",
  "authors": [
    "Maarten De Boeck",
    "Jozefien D'haeseleer",
    "Morgan Rodgers"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Cameron-Liebler sets of generators in polar spaces were introduced a few years ago as natural generalisations of the Cameron-Liebler sets of subspaces in projective spaces. In this article we present the first two constructions of non-trivial Cameron-Liebler sets of generators in polar spaces. Also regular m-ovoids of k-spaces are introduced as a generalization of m-ovoids of polar spaces. They are used in one of the aforementioned constructions of Cameron-Liebler sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-23T09:19:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B25",
      "05E30",
      "51A50",
      "51E20"
    ],
    "keywords": [
      "polar spaces",
      "regular ovoids",
      "generators",
      "non-trivial cameron-liebler sets",
      "natural generalisations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}