{
  "id": "1111.2777",
  "version": "v1",
  "published": "2011-11-11T15:33:07.000Z",
  "updated": "2011-11-11T15:33:07.000Z",
  "title": "On the smoothness of the scheme of linear representations and the Nori-Hilbert scheme of an associative algebra",
  "authors": [
    "Federica Galluzzi",
    "Francesco Vaccarino"
  ],
  "comment": "20 pages, submitted for publication",
  "categories": [
    "math.AG",
    "math.RA",
    "math.RT"
  ],
  "abstract": "Let $k$ be an algebraically closed field and let $A$ be a finitely generated $k-$algebra. We show that the scheme of n-dimensional representations of $A$ is smooth when $A$ is hereditary and coherent. We deduce from this the smoothness of the Nori-Hilbert scheme associated to $A.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-11T15:33:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A22",
      "14C05",
      "16Exx"
    ],
    "keywords": [
      "linear representations",
      "associative algebra",
      "smoothness",
      "n-dimensional representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.2777G"
    }
  }
}