{
  "id": "math/0406591",
  "version": "v3",
  "published": "2004-06-29T06:46:59.000Z",
  "updated": "2009-02-14T09:59:42.000Z",
  "title": "Linear systems in $\\mathbb{P}^2$ with base points of bounded multiplicity",
  "authors": [
    "Stephanie Yang"
  ],
  "comment": "No major changes. Fixed about a dozen typos and updated journal information",
  "journal": "J. Algebraic Geom. 16 (2007), 19-38",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We present a proof of the Harbourne-Hirschowitz conjecture for linear systems with base points of multiplicity seven or less. This proof uses a well-known degeneration of the projective plane, as well as a combinatorial technique that arises from specializing points onto a line.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-02-14T09:59:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H50",
      "14N15"
    ],
    "keywords": [
      "base points",
      "linear systems",
      "bounded multiplicity",
      "combinatorial technique",
      "harbourne-hirschowitz conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......6591Y"
    }
  }
}