{
  "id": "1402.5720",
  "version": "v1",
  "published": "2014-02-24T04:23:15.000Z",
  "updated": "2014-02-24T04:23:15.000Z",
  "title": "Characteristic cycle and the Euler number of a constructible sheaf on a surface",
  "authors": [
    "Takeshi Saito"
  ],
  "comment": "34 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We define the characteristic cycle of a constructible sheaf on a smooth surface in the cotangent bundle. We prove that the intersection number with the 0-section equals the Euler number and that the total dimension of vanishing cycles at an isolated characteristic point is also computed as an intersection number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-24T04:23:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F20",
      "14G17",
      "11S15"
    ],
    "keywords": [
      "euler number",
      "characteristic cycle",
      "constructible sheaf",
      "intersection number",
      "smooth surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.5720S"
    }
  }
}