{
  "id": "0903.2032",
  "version": "v1",
  "published": "2009-03-11T19:01:10.000Z",
  "updated": "2009-03-11T19:01:10.000Z",
  "title": "On the variety of almost commuting nilpotent matrices",
  "authors": [
    "Eliana Zoque"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We study the variety of n by n matrices with commutator of rank at most one. We describe its irreducible components; two of them correspond to the pairs of commuting matrices, and n-2 components of smaller dimension corresponding to the pairs of rank one commutator. In our proof we define a map to the zero fiber of the Hilbert scheme of points and study the image and the fibers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-11T19:01:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "commuting nilpotent matrices",
      "commutator",
      "hilbert scheme",
      "zero fiber",
      "smaller dimension corresponding"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.2032Z"
    }
  }
}