{
  "id": "0803.2434",
  "version": "v1",
  "published": "2008-03-17T12:22:23.000Z",
  "updated": "2008-03-17T12:22:23.000Z",
  "title": "Global stucture of webs in codimension one",
  "authors": [
    "Vincent Cavalier",
    "Daniel Lehmann"
  ],
  "comment": "19 pages",
  "categories": [
    "math.DS",
    "math.AG",
    "math.DG"
  ],
  "abstract": "We describe the global structure of holomorphic webs in codimension one, and in particular their singularity (caustic). Various concepts are introduced, which have no interest locally near a regular point, such as the type, the reducibility, the quasi-smoothness, the CI property (complete intersection), the dicriticity... We prove for instance that the algebraicity of a web globally defined on a complex projective space may be readen on its caustic (dicriticity), at least if each irreducible component is CI, and the web quasi-smooth. .",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-17T12:22:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global stucture",
      "codimension",
      "web quasi-smooth",
      "complex projective space",
      "holomorphic webs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.2434C"
    }
  }
}