{
  "id": "0805.0681",
  "version": "v1",
  "published": "2008-05-06T09:57:25.000Z",
  "updated": "2008-05-06T09:57:25.000Z",
  "title": "The Euler characteristic as a polynomial in the Chern classes",
  "authors": [
    "Cristina Bertone"
  ],
  "comment": "12 pages",
  "journal": "International Journal of Algebra, Vol. 2, 2008, no. 13-16, 757-769.",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "In this paper we obtain some explicit expressions for the Euler characteristic of a rank n coherent sheaf F on P^N and of its twists F(t) as polynomials in the Chern classes c_i(F), also giving algorithms for the computation. The employed methods use techniques of umbral calculus involving symmetric functions and Stirling numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-06T09:57:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "05A40"
    ],
    "keywords": [
      "euler characteristic",
      "chern classes",
      "polynomial",
      "explicit expressions",
      "coherent sheaf"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.0681B"
    }
  }
}