{
  "id": "0911.4607",
  "version": "v2",
  "published": "2009-11-24T11:55:58.000Z",
  "updated": "2011-04-12T03:43:47.000Z",
  "title": "The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds",
  "authors": [
    "Yusuke Kuno"
  ],
  "comment": "40 pages, 4 figures",
  "journal": "Algebraic & Geometric Topology 11, pp145-195, 2011",
  "categories": [
    "math.GT",
    "math.AG"
  ],
  "abstract": "We study a secondary invariant, called the Meyer function, on the fundamental group of the complement of the dual variety of a smooth projective variety. This invariant have played an important role when studying the local signatures of fibered 4-manifolds from topological point of view. As an application of our study, we define a local signature for generic non-hyperelliptic fibrations of genus 4 and 5 and compute some examples.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-12T03:43:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N13",
      "14D05"
    ],
    "keywords": [
      "local signature",
      "meyer function",
      "application",
      "generic non-hyperelliptic fibrations",
      "smooth projective variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.4607K"
    }
  }
}