{
  "id": "1312.7386",
  "version": "v2",
  "published": "2013-12-28T03:38:15.000Z",
  "updated": "2014-07-09T22:47:39.000Z",
  "title": "The global sections of the chiral de Rham complex on a Kummer surface",
  "authors": [
    "Bailin Song"
  ],
  "comment": "Abstract and introduction rewritten, minor corrections and expository improvements",
  "categories": [
    "math.AG"
  ],
  "abstract": "The chiral de Rham complex is a sheaf of vertex algebras {\\Omega}^ch_M on any nonsingular algebraic variety or complex manifold M, which contains the ordinary de Rham complex as the weight zero subspace. We show that when M is a Kummer surface, the algebra of global sections is isomorphic to the N = 4 superconformal vertex algebra with central charge 6. Previously, CP^n was the only manifold where a complete description of the global section algebra was known.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-09T22:47:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rham complex",
      "kummer surface",
      "superconformal vertex algebra",
      "nonsingular algebraic variety",
      "weight zero subspace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.7386S"
    }
  }
}