{
  "id": "math/0003229",
  "version": "v2",
  "published": "2000-03-31T13:24:05.000Z",
  "updated": "2001-04-04T18:36:33.000Z",
  "title": "There are enough Azumaya algebras on surfaces",
  "authors": [
    "Stefan Schroeer"
  ],
  "comment": "13 pages, major revision, to appear in Math. Ann",
  "journal": "Math. Ann. 321 (2001), 439--454",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Using Maruyama's theory of elementary transformations, I show that the Brauer group surjects onto the cohomological Brauer group for separated geometrically normal algebraic surfaces. As an application, I infer the existence of nonfree vector bundles on proper normal algebraic surfaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-04-04T18:36:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13A20",
      "14J17",
      "14J60",
      "16H05"
    ],
    "keywords": [
      "azumaya algebras",
      "proper normal algebraic surfaces",
      "separated geometrically normal algebraic surfaces",
      "nonfree vector bundles",
      "brauer group surjects"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......3229S"
    }
  }
}