中文

An algorithm for finding the Veech group of an origami

代数几何 2007-05-23 v1 几何拓扑

摘要

We study the Veech group of an origami, i.e. of a translation surface, tessellated by parallelograms. We show that it is isomorphic to the image of a certain subgroup of Aut(F_2) in SL_2(Z) = Out^+(F_2). Based on this we present an algorithm that determines the Veech group.

引用

@article{arxiv.math/0401185,
  title  = {An algorithm for finding the Veech group of an origami},
  author = {Gabriela Schmithuesen},
  journal= {arXiv preprint arXiv:math/0401185},
  year   = {2007}
}

备注

17 pages, 1 figure