{
  "id": "math/0110258",
  "version": "v3",
  "published": "2001-10-23T21:33:11.000Z",
  "updated": "2004-05-12T19:03:51.000Z",
  "title": "Vector bundles on a three dimensional neighborhood of a ruled surface",
  "authors": [
    "Edoardo Ballico",
    "Elizabeth Gasparim"
  ],
  "comment": "Revised version to appear in J. Pure Appl. Algebra. A new section on deformations was added",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $S$ be a ruled surface inside a smooth threefold $W$ and let $E$ be a vector bundle on a formal neighborhood of $S.$ We find minimal conditions under which the local moduli space of $E$ is finite dimensional and smooth. Moreover, we show that $E$ is a flat limit of a flat family of vector bundles whose general element we describe explicitly.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-05-12T19:03:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "32G08"
    ],
    "keywords": [
      "vector bundle",
      "dimensional neighborhood",
      "local moduli space",
      "minimal conditions",
      "formal neighborhood"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....10258B"
    }
  }
}