{
  "id": "math/0611553",
  "version": "v3",
  "published": "2006-11-18T03:24:13.000Z",
  "updated": "2007-06-25T22:36:45.000Z",
  "title": "Frobenius manifolds for elliptic root systems",
  "authors": [
    "Ikuo Satake"
  ],
  "comment": "23 pages: we simplify a proof of the uniqueness theorem",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "In this paper, we show that the quotient space of the domain by the reflection group for an elliptic root system has a structure of Frobenius manifold for the case of codimension 1. We also give a characterization of this Frobenius manifold structure under some suitable condition.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-06-25T22:36:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G20",
      "32N10"
    ],
    "keywords": [
      "elliptic root system",
      "frobenius manifold structure",
      "reflection group",
      "quotient space",
      "codimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11553S"
    }
  }
}