{
  "id": "math/0103205",
  "version": "v1",
  "published": "2001-03-29T05:13:11.000Z",
  "updated": "2001-03-29T05:13:11.000Z",
  "title": "Moduli of nodal curves on smooth surfaces of general type",
  "authors": [
    "F. Flamini"
  ],
  "comment": "Latex2e, 27 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we focus on the problem of computing the number of moduli of the so called Severi varieties (denoted by V(|D|, \\delta)), which parametrize universal families of irreducible, \\delta-nodal curves in a complete linear system |D|, on a smooth projective surface S of general type. We determine geometrical and numerical conditions on D and numerical conditions on \\delta ensuring that such number coincides with dim(V(|D|, \\delta). As related facts, we also determines some sharp results concerning the geometry of some Severi varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-03-29T05:13:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J29",
      "14H10"
    ],
    "keywords": [
      "general type",
      "smooth surfaces",
      "nodal curves",
      "severi varieties",
      "complete linear system"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......3205F"
    }
  }
}