{
  "id": "math/0702871",
  "version": "v2",
  "published": "2007-02-28T09:59:52.000Z",
  "updated": "2007-05-18T09:55:58.000Z",
  "title": "Characteristic varieties and constructible sheaves",
  "authors": [
    "Alexandru Dimca"
  ],
  "comment": "This new version brings in the orbifold fundamental groups and gives a simple, complete description of the finite group $T(f)$, see Theorem 5.3, which corrects a previous result by Serrano",
  "journal": "Rend. Lincei Mat. Appl. 18(2007), 365- 389.",
  "categories": [
    "math.AG",
    "math.AT"
  ],
  "abstract": "We explore the relation between the positive dimensional irreducible components of the characteristic varieties of rank one local systems on a smooth surface and the associated (rational or irrational) pencils. Our study, which may viewed as a continuation of D. Arapura's work, yields new geometric insight into the translated components relating them to the multiplicities of curves in the associated pencil, in a close analogy to the compact situation treated by A. Beauville. The new point of view is the key role played by the constructible sheaves naturally arising from local systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-18T09:55:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C21",
      "14F99",
      "32S22"
    ],
    "keywords": [
      "characteristic varieties",
      "constructible sheaves",
      "local systems",
      "positive dimensional irreducible components",
      "smooth surface"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2871D"
    }
  }
}