{
  "id": "2403.14424",
  "version": "v1",
  "published": "2024-03-21T14:24:00.000Z",
  "updated": "2024-03-21T14:24:00.000Z",
  "title": "On a conjecture of Moreno-Frías and Rosales for numerical semigroups",
  "authors": [
    "Masahiro Watari"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "The present paper addresses a semimodule counting conjecture of Moreno-Fr\\'{i}as and Rosales for numerical semigroups. Applying Pfister and Steenbrink's Theory for punctual Hilbert schemes of curve singularities, we show that this conjecture is true for any numerical semigroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-21T14:24:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20M14",
      "14C05",
      "14H20"
    ],
    "keywords": [
      "numerical semigroup",
      "moreno-frías",
      "punctual hilbert schemes",
      "curve singularities",
      "semimodule counting conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}