{
  "id": "math/0611771",
  "version": "v3",
  "published": "2006-11-24T23:56:47.000Z",
  "updated": "2011-08-15T20:42:40.000Z",
  "title": "Geometric Invariant Theory and Einstein-Weyl Geometry",
  "authors": [
    "Mustafa Kalafat"
  ],
  "comment": "A section on efficiency and classification is added",
  "journal": "Expo. Math. 29, No. 2, 220-230 (2011)",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "In this article, we give a survey of Geometric Invariant Theory for Toric Varieties, and present an application to the Einstein-Weyl Geometry. We compute the image of the Minitwistor space of the Honda metrics as a categorical quotient according to the most efficient linearization. The result is the complex weighted projective space CP_(1,1,2). We also find and classify all possible quotients.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-08-15T20:42:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14L24",
      "53C28"
    ],
    "keywords": [
      "geometric invariant theory",
      "einstein-weyl geometry",
      "complex weighted projective space",
      "minitwistor space",
      "honda metrics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.exmath.2011.01.002"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11771K",
      "inspire": 1382874
    }
  }
}