{
  "id": "1708.01174",
  "version": "v1",
  "published": "2017-08-03T15:08:49.000Z",
  "updated": "2017-08-03T15:08:49.000Z",
  "title": "Hodge numbers of Landau-Ginzburg models",
  "authors": [
    "Andrew Harder"
  ],
  "comment": "Comments welcome!",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the Hodge numbers of Landau-Ginzburg models as defined by Katzarkov, Kontsevich and Pantev. First we show that these numbers can be computed using ordinary mixed Hodge theory, then we give a concrete recipe for computing these numbers for the Landau-Ginzburg mirrors of Fano threefolds. We finish by proving that for a crepant resolution of a Gorenstein toric Fano threefold $X$ there is a natural LG mirror $(Y,\\mathsf{w})$ so that $h^{p,q}(X) = f^{3-q,p}(Y,\\mathsf{w})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-03T15:08:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J33",
      "14D07",
      "14D06"
    ],
    "keywords": [
      "hodge numbers",
      "landau-ginzburg models",
      "gorenstein toric fano threefold",
      "natural lg mirror",
      "ordinary mixed hodge theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}