{
  "id": "1108.5243",
  "version": "v2",
  "published": "2011-08-26T05:38:01.000Z",
  "updated": "2011-10-11T09:39:33.000Z",
  "title": "Tangency and a ruled surface associated with a Hitchin system",
  "authors": [
    "Taejung Kim"
  ],
  "comment": "We corrected typos and changed some notations",
  "categories": [
    "math.AG",
    "math.DS"
  ],
  "abstract": "We will generalize the Treibich-Verdier theory about elliptic solitons to a Hitchin system by constructing a particular ruled surface and we will propose a generalization of a tangency condition associated with elliptic solitons to a Hitchin system. In particular, we will calculate the dimension of the moduli space of Hitchin covers satisfying the tangency condition. With this new point of view, we will see a subtle relation between the characterizations of coverings and the singularities of divisors in a particular algebraic surface.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-11T09:39:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14H60",
      "14H70",
      "14J26",
      "32L10"
    ],
    "keywords": [
      "hitchin system",
      "ruled surface",
      "elliptic solitons",
      "hitchin covers",
      "algebraic surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.5243K"
    }
  }
}