{
  "id": "2110.10818",
  "version": "v2",
  "published": "2021-10-20T23:27:18.000Z",
  "updated": "2021-11-03T12:52:19.000Z",
  "title": "Singularities of 3-parameter line congruences in $\\mathbb{R}^4$",
  "authors": [
    "Débora Lopes",
    "Maria Aparecida Soares Ruas",
    "Igor Chagas Santos"
  ],
  "comment": "22 pages and 1 figure",
  "doi": "10.1017/prm.2022.41",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we give the generic classification of the singularities of 3-parameter line congruences in $\\mathbb{R}^4$. We also classify the generic singularities of Blaschke (affine) normal congruences.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2021-11-03T12:52:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A55",
      "57R45",
      "53A15"
    ],
    "keywords": [
      "line congruences",
      "generic singularities",
      "normal congruences"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}