{
  "id": "1403.0103",
  "version": "v2",
  "published": "2014-03-01T16:18:05.000Z",
  "updated": "2014-10-22T08:37:18.000Z",
  "title": "On vanishing theorems for local systems associated to Laurent polynomials",
  "authors": [
    "Alexander Esterov",
    "Kiyoshi Takeuchi"
  ],
  "comment": "16 pages, the results were improved",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove some vanishing theorems for the cohomology groups of local systems associated to Laurent polynomials. In particular, we extend one of the results of Gelfand-Kapranov-Zelevinsky into various directions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-01T16:18:05.000Z",
      "comment": "12 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-22T08:37:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local systems",
      "laurent polynomials",
      "vanishing theorems",
      "cohomology groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.0103E"
    }
  }
}