{
  "id": "1810.00416",
  "version": "v1",
  "published": "2018-09-30T16:21:13.000Z",
  "updated": "2018-09-30T16:21:13.000Z",
  "title": "Light dual multinets of order six in the projective plane",
  "authors": [
    "Norbert Bogya",
    "Gábor P. Nagy"
  ],
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "The aim of this paper is twofold: First we classify all abstract light dual multinets of order $6$ which have a unique line of length at least two. Then we classify the weak projective embeddings of these objects in projective planes over fields of characteristic zero. For the latter we present a computational algebraic method for the study of weak projective embeddings of finite point-line incidence structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-30T16:21:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B30",
      "13P15"
    ],
    "keywords": [
      "projective plane",
      "weak projective embeddings",
      "abstract light dual multinets",
      "finite point-line incidence structures",
      "computational algebraic method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}