{
  "id": "1810.13136",
  "version": "v1",
  "published": "2018-10-31T07:33:59.000Z",
  "updated": "2018-10-31T07:33:59.000Z",
  "title": "Finite generation of the algebra of type A conformal blocks via birational geometry II: higher genus",
  "authors": [
    "Han-Bom Moon",
    "Sang-Bum Yoo"
  ],
  "comment": "24 pages; comments welcome",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We show finite generation of the algebra of type A conformal blocks over arbitrary stable curves of any genus. As an application we construct a flat family of irreducible normal projective varieties over the moduli stack of stable pointed curves, whose fiber over a smooth curve is a moduli space of semistable parabolic bundles. This generalizes a construction of a degeneration of the moduli space of vector bundles done in a recent work of Belkale and Gibney.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-31T07:33:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D06",
      "14D20",
      "14D22",
      "14D23",
      "14E05",
      "14E15",
      "14E30"
    ],
    "keywords": [
      "finite generation",
      "conformal blocks",
      "birational geometry",
      "higher genus",
      "moduli space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}