{
  "id": "2406.19270",
  "version": "v1",
  "published": "2024-06-27T15:37:54.000Z",
  "updated": "2024-06-27T15:37:54.000Z",
  "title": "The Gauss map of a projective foliation",
  "authors": [
    "Claudia R. Alcántara",
    "Dominique Cerveau",
    "Alcides Lins Neto"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we study the Gauss map of a holomorphic codimension one foliation on the projective space $\\mathbb{P}^n$, $n\\ge 2$, mainly the case $n=3$. Among other things, we will investigate the case where the Gauss map is birational.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-27T15:37:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F75",
      "34M15",
      "53Axx"
    ],
    "keywords": [
      "gauss map",
      "projective foliation",
      "holomorphic codimension",
      "birational"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}