{
  "id": "math/0410281",
  "version": "v1",
  "published": "2004-10-11T20:49:05.000Z",
  "updated": "2004-10-11T20:49:05.000Z",
  "title": "On the McKay correspondences for the Hilbert scheme of points on the affine plane",
  "authors": [
    "Samuel Boissiere"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "The quotient of a finite-dimensional vector space by the action of a finite subgroup of automorphisms is usually a singular variety. Under appropriate assumptions, the McKay correspondence relates the geometry of nice resolutions of singularities and the representations of the group. For the Hilbert scheme of points on the affine plane, we study how different correspondences (McKay, dual McKay and multiplicative McKay) are related to each other.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-11T20:49:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C05"
    ],
    "keywords": [
      "hilbert scheme",
      "affine plane",
      "finite-dimensional vector space",
      "mckay correspondence relates",
      "dual mckay"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10281B"
    }
  }
}