{
  "id": "math/0510055",
  "version": "v2",
  "published": "2005-10-03T21:36:15.000Z",
  "updated": "2006-02-14T15:59:38.000Z",
  "title": "All the GIT quotients at once",
  "authors": [
    "Nicholas J. Proudfoot"
  ],
  "comment": "12 pages, 2 figures; new introduction and conjecture",
  "categories": [
    "math.AG",
    "math.SG"
  ],
  "abstract": "Let T be an algebraic torus acting on a smooth variety V. We study the relationship between the various GIT quotients of V and the symplectic quotient of the cotangent bundle of V.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-14T15:59:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L24",
      "53D20"
    ],
    "keywords": [
      "git quotients",
      "smooth variety",
      "symplectic quotient",
      "cotangent bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10055P"
    }
  }
}