{
  "id": "0912.2075",
  "version": "v1",
  "published": "2009-12-10T19:23:27.000Z",
  "updated": "2009-12-10T19:23:27.000Z",
  "title": "Isotypic Decomposition of the Cohomology and Factorization of the Zeta Functions of Dwork Hypersurfaces",
  "authors": [
    "Philippe Goutet"
  ],
  "comment": "32 pages, submitted for publication",
  "categories": [
    "math.NT"
  ],
  "abstract": "The aim of this article is to illustrate, on the example of Dwork hypersurfaces, how the study of the representation of a finite group of automorphisms of a hypersurface in its etale cohomology allows to factor its zeta function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-10T19:23:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G10",
      "11G25",
      "14G15",
      "20C05"
    ],
    "keywords": [
      "dwork hypersurfaces",
      "zeta function",
      "isotypic decomposition",
      "factorization",
      "finite group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.2075G"
    }
  }
}