{
  "id": "2210.01170",
  "version": "v1",
  "published": "2022-10-03T18:38:13.000Z",
  "updated": "2022-10-03T18:38:13.000Z",
  "title": "Irreducible components of Hilbert Scheme of Points on non-reduced curves",
  "authors": [
    "Yuze Luan"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We classify the irreducible components of the Hilbert scheme of $n$ points on non-reduced algebraic plane curves. The irreducible components are indexed by partitions and all have dimension $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-03T18:38:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "irreducible components",
      "hilbert scheme",
      "non-reduced curves",
      "non-reduced algebraic plane curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}