{
  "id": "1105.1402",
  "version": "v3",
  "published": "2011-05-06T23:57:31.000Z",
  "updated": "2012-06-03T21:39:31.000Z",
  "title": "Local classification of singular hexagonal 3-webs with holomorphic Chern connection and infinitesimal symmetries",
  "authors": [
    "Sergey Agafonov"
  ],
  "comment": "33 pages, 2 figures",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "We provide a complete classification of hexagonal singular 3-web germs in the complex plane, satisfying the following two conditions: 1) the Chern connection remains holomorphic at the singular point, 2) the web admits at least one infinitesimal symmetry at this point. As a by-product, a classification of hexagonal weighted homogeneous 3-webs is obtained.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-06-03T21:39:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A60",
      "32S65"
    ],
    "keywords": [
      "holomorphic chern connection",
      "infinitesimal symmetry",
      "singular hexagonal",
      "local classification",
      "chern connection remains holomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.1402A"
    }
  }
}