{
  "id": "0804.1213",
  "version": "v1",
  "published": "2008-04-08T08:42:22.000Z",
  "updated": "2008-04-08T08:42:22.000Z",
  "title": "Quasi-homogeneous linear systems on P2 with base points of multiplicity 7, 8, 9, 10",
  "authors": [
    "Marcin Dumnicki"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "In the paper we prove Harbourne-Hirschowitz conjecture for quasi-homogeneous linear systems on $\\mathbb P^2$ for $m=7$, 8, 9, 10, i.e. systems of curves of given degree passing through points in general position with multiplicities at least $m,...,m,m_0$, where $m=7$, 8, 9, 10, $m_0$ is arbitrary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-08T08:42:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H50",
      "13P10"
    ],
    "keywords": [
      "quasi-homogeneous linear systems",
      "base points",
      "multiplicity",
      "harbourne-hirschowitz conjecture",
      "general position"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.1213D"
    }
  }
}