{
  "id": "math/9912227",
  "version": "v3",
  "published": "1999-12-29T22:05:55.000Z",
  "updated": "2000-10-09T14:31:50.000Z",
  "title": "Translated tori in the characteristic varieties of complex hyperplane arrangements",
  "authors": [
    "Alexander I. Suciu"
  ],
  "comment": "Revised and expanded; 16 pages, 10 figures; to appear in Topology and its Applications",
  "journal": "Topology and Appl. 118 (2002), 209-223",
  "doi": "10.1016/S0166-8641(01)00052-9",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "We give examples of complex hyperplane arrangements for which the top characteristic variety contains positive-dimensional irreducible components that do not pass through the origin of the character torus. These examples answer several questions of Libgober and Yuzvinsky. As an application, we exhibit a pair of arrangements for which the resonance varieties of the Orlik-Solomon algebra are (abstractly) isomorphic, yet whose characteristic varieties are not isomorphic. The difference comes from translated components, which are not detected by the tangent cone at the origin.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2000-10-09T14:31:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S22",
      "52C35",
      "14M12",
      "57M05"
    ],
    "keywords": [
      "complex hyperplane arrangements",
      "translated tori",
      "variety contains positive-dimensional irreducible components",
      "characteristic variety contains positive-dimensional"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....12227S"
    }
  }
}