{
  "id": "math/0603703",
  "version": "v3",
  "published": "2006-03-30T09:56:31.000Z",
  "updated": "2008-02-24T10:48:21.000Z",
  "title": "The main component of the toric Hilbert scheme",
  "authors": [
    "O. V. Chuvashova"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "Let \\X be an affine toric variety under a torus \\T and let T be a subtorus. The general T-orbit closures in \\X and their flat limits are parametrized by the main component H_0 of the toric Hilbert scheme. Further, the quotient torus \\T/T acts on H_0 with a dense orbit. We describe the fan of this toric variety; this leads us to an integral analogue of the fiber polytope of Billera and Sturmfels. We also describe the relation of H_0 to the main component of the inverse limit of GIT quotients of \\X by T.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-02-24T10:48:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C05",
      "52B20",
      "14M25"
    ],
    "keywords": [
      "toric hilbert scheme",
      "main component",
      "affine toric variety",
      "general t-orbit closures",
      "inverse limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3703C"
    }
  }
}