{
  "id": "1307.8310",
  "version": "v2",
  "published": "2013-07-31T13:13:36.000Z",
  "updated": "2015-04-20T19:13:29.000Z",
  "title": "Vector Bundles on the Moduli Stack of Elliptic Curves",
  "authors": [
    "Lennart Meier"
  ],
  "comment": "26 pages",
  "journal": "J. Algebra 428 (2015), 425-456",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study vector bundles on the moduli stack of elliptic curves over a local ring R. If R is a field or a discrete valuation ring of (residue) characteristic not 2 or 3, all these vector bundles are sums of line bundles. For R the 3-local integers, we construct higher rank indecomposable vector bundles and give a classification of vector bundles that are iterated extensions of line bundles. For R the 2-local integers, we show that there are even indecomposable vector bundles of arbitrary high rank.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-31T13:13:36.000Z",
      "comment": "28 pages. Comments welcome",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-20T19:13:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K10",
      "14H52",
      "14H60"
    ],
    "keywords": [
      "elliptic curves",
      "moduli stack",
      "line bundles",
      "construct higher rank indecomposable vector",
      "higher rank indecomposable vector bundles"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.8310M"
    }
  }
}