{
  "id": "1505.00410",
  "version": "v1",
  "published": "2015-05-03T09:34:17.000Z",
  "updated": "2015-05-03T09:34:17.000Z",
  "title": "Martens-Mumford's Theorems for Brill-Noether Schemes arising from Very Ample Line Bundles",
  "authors": [
    "Ali Bajravani"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Tangent Spaces of V^r_d(L), Specific subschemes of C_d arising from various line bundles on C, are described. Then we proceed to prove Martense Theorem for these schemes, by which we determine curves C, which for some very ample line bundle L on C and some integers r and d with d\\leq h^{0}(L)-2, the subscheme V^r_d(L) might attain its maximum dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-03T09:34:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ample line bundle",
      "brill-noether schemes arising",
      "martens-mumfords theorems",
      "maximum dimension",
      "tangent spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}