{
  "id": "1802.01867",
  "version": "v1",
  "published": "2018-02-06T09:58:46.000Z",
  "updated": "2018-02-06T09:58:46.000Z",
  "title": "Automorphism group of a moduli space of framed bundles over a curve",
  "authors": [
    "David Alfaya",
    "Indranil Biswas"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $X$ be a smooth complex projective curve of genus $g > 2$, and let $x\\in X$ be a point. We compute the automorphism group of the moduli space of framed vector bundles on $X$ with a framing over $x$. It is shown that this group is generated by pullbacks using automorphisms of the curve $X$ that fix the marked point $x$, tensorization with certain line bundles over $X$ and the action of $\\operatorname{PGL}_r(\\mathbb{C})$ by composition with the framing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-06T09:58:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20",
      "14C34"
    ],
    "keywords": [
      "moduli space",
      "automorphism group",
      "framed bundles",
      "smooth complex projective curve",
      "line bundles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}