{
  "id": "1703.01119",
  "version": "v1",
  "published": "2017-03-03T11:51:35.000Z",
  "updated": "2017-03-03T11:51:35.000Z",
  "title": "Residue-type indices and holomorphic foliations",
  "authors": [
    "Arturo Fernández-Pérez",
    "Rogério Mol"
  ],
  "comment": "21 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We investigate residue-type indices for germs of holomorphic foliations in the plane and characterize second type foliations - those not containing tangent saddle-nodes in the reduction of singularities - by an expression involving the Baum-Bott, variation and polar excess indices. These local results are applied in the study of logarithmic foliations on compact complex surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-03T11:51:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S65",
      "37F75"
    ],
    "keywords": [
      "holomorphic foliations",
      "residue-type indices",
      "characterize second type foliations",
      "polar excess indices",
      "compact complex surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}