{
  "id": "2103.10879",
  "version": "v1",
  "published": "2021-03-19T16:03:46.000Z",
  "updated": "2021-03-19T16:03:46.000Z",
  "title": "Asymptotic syzygies of secant varieties of curves",
  "authors": [
    "Gregory Taylor"
  ],
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We prove that the minimal free resolution of the secant variety of a curve is asymptotically pure. As a corollary, we show that the Betti numbers of converge to a normal distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-19T16:03:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "secant variety",
      "asymptotic syzygies",
      "minimal free resolution",
      "betti numbers",
      "normal distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}