{
  "id": "1507.01872",
  "version": "v1",
  "published": "2015-07-07T16:55:56.000Z",
  "updated": "2015-07-07T16:55:56.000Z",
  "title": "From exceptional groups to del Pezzo surfaces and simultaneous log resolutions via principal bundles over elliptic curves",
  "authors": [
    "I. Grojnowski",
    "N. I. Shepherd-Barron"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that simultaneous log resolutions of simply elliptic singularities can be constructed inside suitable stacks of principal bundles over elliptic curves. In particular, we give a direct geometrical construction of del Pezzo surfaces from the corresponding exceptional simple algebraic groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-07T16:55:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J17",
      "14J26",
      "20G41"
    ],
    "keywords": [
      "del pezzo surfaces",
      "simultaneous log resolutions",
      "principal bundles",
      "elliptic curves",
      "exceptional groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150701872G"
    }
  }
}