{
  "id": "1211.1330",
  "version": "v1",
  "published": "2012-11-06T18:01:19.000Z",
  "updated": "2012-11-06T18:01:19.000Z",
  "title": "On the singularities of surfaces ruled by conics",
  "authors": [
    "Michela Brundu",
    "Gianni Sacchiero"
  ],
  "comment": "16 pages, 13 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "We classify the singularities of a surface ruled by conics: they are rational double points of type $A_n$ or $D_n$. This is proved by showing that they arise from a precise series of blow-ups of a suitable surface geometrically ruled by conics. We determine also the family of such surfaces which are birational models of a given surface ruled by conics and obtained in a \"minimal way\" from it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-06T18:01:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J26",
      "14E05",
      "14D06"
    ],
    "keywords": [
      "singularities",
      "rational double points",
      "precise series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.1330B"
    }
  }
}