{
  "id": "math/0211245",
  "version": "v1",
  "published": "2002-11-15T22:06:55.000Z",
  "updated": "2002-11-15T22:06:55.000Z",
  "title": "Representations of SL_2 and the distribution of points in P^n",
  "authors": [
    "J. Kuttler",
    "N. R. Wallach"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "It is an open problem to determine the dimension of the space of homogeneous polynomials of a fixed degree vanishing at finitely many points in the projective plane to certain multiplicities. We present various aspects of this problem and a version of a known algorithm (originally due to M. Nagata) to compute this dimension for nine or less points. Our methods are completely elementary and only involve the representation theory of SL_2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-15T22:06:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "distribution",
      "open problem",
      "representation theory",
      "homogeneous polynomials",
      "fixed degree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11245K"
    }
  }
}