{
  "id": "1703.01801",
  "version": "v1",
  "published": "2017-03-06T10:24:10.000Z",
  "updated": "2017-03-06T10:24:10.000Z",
  "title": "Approximable algebras and a question of Chen",
  "authors": [
    "Catriona Maclean"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In his article \"Arithmetic Fujita Approximations\", Huayi Chen introduces the notion of an approximable graded algebra and asks if any such algebra is a subalgebra of the graded section ring of a big line bundle on an algebraic variety. We give a counter-example showing this is not the case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-06T10:24:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E99"
    ],
    "keywords": [
      "approximable algebras",
      "big line bundle",
      "arithmetic fujita approximations",
      "huayi chen",
      "algebraic variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}