{
  "id": "2107.02204",
  "version": "v1",
  "published": "2021-07-05T18:12:19.000Z",
  "updated": "2021-07-05T18:12:19.000Z",
  "title": "Hilbert Schemes with Two Borel-fixed Points in Arbitrary Characteristic",
  "authors": [
    "Andrew P. Staal"
  ],
  "comment": "Improved the presentation of a previous draft, added detail to the main proof, a couple further remarks; comments welcome!",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We extend the recent classification of Hilbert schemes with two Borel-fixed points to arbitrary characteristic. We accomplish this by synthesizing Reeves' algorithm for generating strongly stable ideals with the basic properties of Borel-fixed ideals and our previous work classifying Hilbert schemes with unique Borel-fixed points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-05T18:12:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D22",
      "14J10",
      "14Q15",
      "13C05",
      "13C70"
    ],
    "keywords": [
      "arbitrary characteristic",
      "work classifying hilbert schemes",
      "unique borel-fixed points",
      "basic properties",
      "generating strongly stable ideals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}