Shun Kumagai
Published 2019-08-24Version 1
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.
General origamis and Veech groups of flat surfaces
An algorithm for classifying origamis into components of Teichmüller curves
Veech groups of flat surfaces with poles
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