{
  "id": "2011.07020",
  "version": "v1",
  "published": "2020-11-13T17:08:29.000Z",
  "updated": "2020-11-13T17:08:29.000Z",
  "title": "Moduli Spaces of Shtukas over the Projective Line",
  "authors": [
    "María Inés de Frutos-Fernández"
  ],
  "comment": "21 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We provide explicit equations for moduli spaces of Drinfeld shtukas over the projective line with $\\Gamma(N)$, $\\Gamma_1(N)$ and $\\Gamma_0(N)$ level structures, where $N$ is an effective divisor on $\\mathbb{P}^1$. If the degree of $N$ is high enough, these moduli spaces are relative surfaces. We study some invariants of the moduli space of shtukas with $\\Gamma_0(N)$ level structure for several degree $4$ divisors on $\\mathbb{P}^1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-13T17:08:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "moduli space",
      "projective line",
      "level structure",
      "explicit equations",
      "drinfeld shtukas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}