{
  "id": "2005.05494",
  "version": "v1",
  "published": "2020-05-12T00:44:52.000Z",
  "updated": "2020-05-12T00:44:52.000Z",
  "title": "Maximal sets of $k$-spaces pairwise intersecting in at least a $(k-2)$-space",
  "authors": [
    "Jozefien D'haeseleer",
    "Giovanni Longobardi",
    "Ago-Erik Riet",
    "Leo Storme"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we analyze the structure of maximal sets of $k$-dimensional spaces in $\\mathrm{PG}(n,q)$ pairwise intersecting in at least a $(k-2)$-dimensional space, for $3 \\leq k\\leq n-2$. We give an overview of the largest examples of these sets with size more than $f(k,q)=\\max\\{3q^4+6q^3+5q^2+q+1,\\theta_{k+1}+q^4+2q^3+3q^2\\}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-12T00:44:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maximal sets",
      "spaces pairwise intersecting",
      "dimensional space",
      "largest examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}