{
  "id": "1908.09226",
  "version": "v1",
  "published": "2019-08-24T22:59:20.000Z",
  "updated": "2019-08-24T22:59:20.000Z",
  "title": "Veech groups and extended origamis",
  "authors": [
    "Shun Kumagai"
  ],
  "categories": [
    "math.GT",
    "math.CV"
  ],
  "abstract": "In this paper, we deal with flat surfaces of finite analytic type with two distinct Jenkins-Strebel directions. We show that such a flat surface is characterized by decomposition into parallelograms which consists of informations of angles, moduli, and neighboring structure similar to origami. The structure similar to origami plays a role of an invariant under affine deformations and we can characterize the Veech group of flat surface of this kind combinatorially.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-24T22:59:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G15",
      "14H30",
      "30F30"
    ],
    "keywords": [
      "veech group",
      "extended origamis",
      "flat surface",
      "distinct jenkins-strebel directions",
      "finite analytic type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}