{
  "id": "math/0610228",
  "version": "v1",
  "published": "2006-10-06T15:43:00.000Z",
  "updated": "2006-10-06T15:43:00.000Z",
  "title": "On the Jacobian ring of a complete intersection",
  "authors": [
    "Alan Adolphson",
    "Steven Sperber"
  ],
  "comment": "28 pages, no figures",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Let f_1,...,f_r be homogeneous polynomials in K[x_1,...,x_n], K a field. Put F=y_1f_1+...+y_rf_r in K[x,y] and let I be the ideal of K[x,y] generated by the partials of F relative to the x_i and y_j. The Jacobian ring of F is the quotient J:=K[x,y]/I. We describe J by computing the cohomology of a certain complex whose top cohomology group is J.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-06T15:43:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F40",
      "13D25"
    ],
    "keywords": [
      "complete intersection",
      "jacobian ring",
      "cohomology group",
      "homogeneous polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10228A"
    }
  }
}