{
  "id": "math/0003075",
  "version": "v1",
  "published": "2000-03-13T20:02:12.000Z",
  "updated": "2000-03-13T20:02:12.000Z",
  "title": "Gherardelli linkage and complete intersections",
  "authors": [
    "Davide Franco",
    "Steven L. Kleiman",
    "Alexandru T. Lascu"
  ],
  "comment": "8 pages, PLAIN TeX",
  "categories": [
    "math.AG"
  ],
  "abstract": "Our main theorem characterizes the complete intersections of codimension 2 in a projective space of dimension 3 or more over an algebraically closed field of characteristic 0 as the subcanonical and self-linked subschemes. In order to prove this theorem, we'll prove the Gherardelli linkage theorem, which asserts that a partial intersection of two hypersurfaces is subcanonical if and only if its residual intersection is, scheme-theoretically, the intersection of the two hypersurfaces with a third.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-03-13T20:02:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M10",
      "14M06"
    ],
    "keywords": [
      "complete intersections",
      "main theorem characterizes",
      "gherardelli linkage theorem",
      "residual intersection",
      "partial intersection"
    ],
    "note": {
      "typesetting": "Plain TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......3075F"
    }
  }
}