{
  "id": "0810.4112",
  "version": "v1",
  "published": "2008-10-22T18:10:26.000Z",
  "updated": "2008-10-22T18:10:26.000Z",
  "title": "Sums of residues on algebraic surfaces and application to coding theory",
  "authors": [
    "Alain Couvreur"
  ],
  "comment": "31 pages",
  "journal": "Journal of Pure and Applied Algebra, vol 213 number 12, pages 2201-2223, 2009",
  "categories": [
    "math.AG",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "In this paper, we study residues of differential 2-forms on a smooth algebraic surface over an arbitrary field and give several statements about sums of residues. Afterwards, using these results we construct algebraic-geometric codes which are an extension to surfaces of the well-known differential codes on curves. We also study some properties of these codes and extend to them some known properties for codes on curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-22T18:10:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J99",
      "14J20",
      "14G50",
      "94B27"
    ],
    "keywords": [
      "coding theory",
      "application",
      "smooth algebraic surface",
      "well-known differential codes",
      "construct algebraic-geometric codes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.4112C"
    }
  }
}