{
  "id": "2203.14175",
  "version": "v1",
  "published": "2022-03-27T00:24:24.000Z",
  "updated": "2022-03-27T00:24:24.000Z",
  "title": "On the Hilbert Function of a Finite Scheme Contained in a Quadric Surface",
  "authors": [
    "Mario Maican"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Consider a finite scheme of length l contained in a smooth quadric surface over the complex numbers. We determine the number of linearly independent curves passing through the scheme, of degree at least l - 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-27T00:24:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C05",
      "14F17"
    ],
    "keywords": [
      "finite scheme",
      "hilbert function",
      "smooth quadric surface",
      "complex numbers",
      "linearly independent curves passing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}