{
  "id": "math/0511547",
  "version": "v2",
  "published": "2005-11-22T09:50:58.000Z",
  "updated": "2006-04-27T15:34:18.000Z",
  "title": "Cyclic coverings and Seshadri constants on smooth surfaces",
  "authors": [
    "Luis Fuentes Garcia"
  ],
  "comment": "16 pages. Some results have been added. In particular, the main Theorem of math.AG/0512147 (\"A note on multiple Seshadri constants on surfaces \") has been extended",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the Seshadri constants of cyclic coverings of smooth surfaces. The existence of an automorphism on these surfaces can be used to produce Seshadri exceptional curves. We give a bound for multiple Seshadri constants on cyclic coverings of surfaces with Picard number 1. Morevoer, we apply this method to $n$-cyclic coverings of the projective plane. When $2\\leq n\\leq 9$, explicit values are obtained. We relate this problem with the Nagata conjecture.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-04-27T15:34:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E20",
      "14C20"
    ],
    "keywords": [
      "cyclic coverings",
      "smooth surfaces",
      "produce seshadri exceptional curves",
      "multiple seshadri constants",
      "picard number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11547F"
    }
  }
}