{
  "id": "math/0011217",
  "version": "v1",
  "published": "2000-11-26T17:28:02.000Z",
  "updated": "2000-11-26T17:28:02.000Z",
  "title": "Toric Varieties in Hilbert Schemes",
  "authors": [
    "Heather Russell"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "For an arbitrary field K, let I be an ideal in the ring K[[x,y]] expressible as a polynomial in either the pair of ideals (x, y^4) and (x,y) or the pair (x,y^3) and (x^2, y). Let G be the group of automorphisms of K[[x,y]] sending the ideal (x,y^2) to itself. Then the normalization of the closure of the G orbit of I is a toric variety. We use the interplay of the properties of Hilbert schemes and toric varieties to study these spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-11-26T17:28:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C05",
      "14M25"
    ],
    "keywords": [
      "toric variety",
      "hilbert schemes",
      "arbitrary field",
      "automorphisms",
      "normalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....11217R"
    }
  }
}