{
  "id": "1306.1854",
  "version": "v3",
  "published": "2013-06-07T22:28:21.000Z",
  "updated": "2014-08-27T08:07:31.000Z",
  "title": "Families of nodal curves in P^r with the expected number of moduli",
  "authors": [
    "Edoardo Ballico",
    "Luca Benzo",
    "Claudio Fontanari"
  ],
  "comment": "final version, to appear in Bollettino dell'Unione Matematica Italiana",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let V^{r}_{d,g, \\delta} be the Hilbert scheme of nodal curves in P^r of degree d and arithmetic genus g with \\delta nodes. Under suitable numerical assumptions on d and g, for every 0 \\le \\delta \\le g we construct an irreducible component of V^{r}_{d,g, \\delta} having the expected number of moduli.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-21T10:51:21.000Z",
      "comment": "second version, some statements stated in a clearer way, more details in some proofs, new proof of Lemma 3.4",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-08-27T08:07:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14H51"
    ],
    "keywords": [
      "nodal curves",
      "expected number",
      "hilbert scheme",
      "arithmetic genus",
      "suitable numerical assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.1854B"
    }
  }
}