{
  "id": "1009.5234",
  "version": "v1",
  "published": "2010-09-27T12:03:58.000Z",
  "updated": "2010-09-27T12:03:58.000Z",
  "title": "Vector Bundles over Normal Varieties Trivialized by Finite Morphisms",
  "authors": [
    "Marco Antei",
    "Vikram Mehta"
  ],
  "comment": "5 pages",
  "journal": "Archiv der Mathematik, Volume 97, Issue 6 (2011), Page 523-527",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $Y$ be a normal and projective variety over an algebraically closed field $k$ and $V$ a vector bundle over $Y$. We prove that if there exist a $k$-scheme $X$ and a finite surjective morphism $g:X\\to Y$ that trivializes $V$ then $V$ is essentially finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-27T12:03:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L15",
      "14J50"
    ],
    "keywords": [
      "normal varieties",
      "vector bundle",
      "finite morphisms",
      "finite surjective morphism",
      "essentially finite"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.5234A"
    }
  }
}