{
  "id": "math/0103100",
  "version": "v3",
  "published": "2001-03-15T17:28:52.000Z",
  "updated": "2002-02-08T14:28:09.000Z",
  "title": "Irreducible components of varieties of modules",
  "authors": [
    "William Crawley-Boevey",
    "Jan Schröer"
  ],
  "comment": "20 pages; an application to tilted algebras has been added",
  "categories": [
    "math.AG",
    "math.AC",
    "math.RA"
  ],
  "abstract": "We prove some basic results about irreducible components of varieties of modules for an arbitrary finitely generated associative algebra. Our work generalizes results of Kac and Schofield on representations of quivers, but our methods are quite different, being based on deformation theory.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-02-08T14:28:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13D10",
      "14M99",
      "16D70",
      "16G20"
    ],
    "keywords": [
      "irreducible components",
      "work generalizes results",
      "arbitrary finitely generated associative algebra",
      "basic results",
      "deformation theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......3100C"
    }
  }
}