论文标题

半滴枕套的veech群和三角形

Veech Groups and Triangulations of Half-Dilation Pillowcases

论文作者

Shima, Taro

论文摘要

在本文中,我们考虑了带有四个奇异性的球体上三角形半滴结构的对称性。我们表明,所有这些表面都可以通过四面体结构产生。使用此构造,我们在$ \ operatotorname {psl}(2,\ mathbb {r})$中计算每个这样的表面对称组。

In this paper we consider the symmetries of triangulable half-dilation structures on the sphere with four singularities. We show that all such surfaces can be produced by a tetrahedral construction. Using this construction, we calculate each such surface's symmetry group in $\operatorname{PSL}(2, \mathbb{R})$ called the Veech group.

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