{
  "id": "0804.0098",
  "version": "v1",
  "published": "2008-04-01T08:01:47.000Z",
  "updated": "2008-04-01T08:01:47.000Z",
  "title": "A splitting criterion for vector bundles on blowing ups of the plane",
  "authors": [
    "Edoardo Ballico",
    "Francesco Malaspina"
  ],
  "comment": "6 pages, no figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $f_s: X_s \\to {\\bf {P}}^2$ be the blowing-up of $s$ distinct points and $E$ a vector bundle on $X_s$. Here we give a cohomological criterio which is equivalent to $E \\cong f_s^\\ast (A)$ with $A$ a direct sum of line bundles. We also some cohomological characterizations of very particular rank 2 vector bundles on ${\\bf {P}}^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-01T08:01:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60"
    ],
    "keywords": [
      "vector bundle",
      "blowing ups",
      "splitting criterion",
      "line bundles",
      "direct sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.0098B"
    }
  }
}