{
  "id": "2002.11832",
  "version": "v1",
  "published": "2020-02-26T22:59:36.000Z",
  "updated": "2020-02-26T22:59:36.000Z",
  "title": "On the quasicompactness of some moduli stacks of G-bundles with connections over a curve",
  "authors": [
    "Andres Fernandez Herrero"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "Fix a smooth projective curve with some given set of punctures. In this note we prove that the moduli of G-bundles with logarithmic connections having fixed monodromy classes at the punctures is an algebraic stack of finite type. We also provide a short self-contained proof of the fact that the moduli stack of flat G-bundles on the curve is of finite type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-26T22:59:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D23",
      "53B15",
      "14H60"
    ],
    "keywords": [
      "moduli stack",
      "quasicompactness",
      "finite type",
      "flat g-bundles",
      "short self-contained proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}