{
  "id": "1601.02251",
  "version": "v1",
  "published": "2016-01-10T18:56:42.000Z",
  "updated": "2016-01-10T18:56:42.000Z",
  "title": "On rigidity of factorial trinomial hypersurfaces",
  "authors": [
    "Ivan Arzhantsev"
  ],
  "comment": "7 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "An affine algebraic variety $X$ is rigid if the algebra of regular functions ${\\mathbb K}[X]$ admits no nonzero locally nilpotent derivation. We prove that a factorial trinomial hypersurface is rigid if and only if every exponent in the trinomial is at least 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-10T18:56:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13A50",
      "14R20",
      "14J50",
      "14L30",
      "14M25"
    ],
    "keywords": [
      "factorial trinomial hypersurface",
      "nonzero locally nilpotent derivation",
      "affine algebraic variety",
      "regular functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160102251A"
    }
  }
}