{
  "id": "2208.11645",
  "version": "v1",
  "published": "2022-08-24T16:35:01.000Z",
  "updated": "2022-08-24T16:35:01.000Z",
  "title": "Toric Degenerations of Low Degree Hypersurfaces",
  "authors": [
    "Nathan Ilten",
    "Oscar Lautsch"
  ],
  "comment": "5 pages",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We show that a sufficiently general hypersurface of degree $d$ in $n$-dimensional projective space admits a toric Gr\\\"obner degeneration if and only if $d\\leq 2n-1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-24T16:35:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14J70",
      "13P10"
    ],
    "keywords": [
      "low degree hypersurfaces",
      "toric degenerations",
      "dimensional projective space admits",
      "sufficiently general hypersurface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}