论文标题

Veech 14级的独特性

Uniqueness of the Veech 14-gon

论文作者

Winsor, Karl

论文摘要

我们获得了大于2属的层组件中代数原始的Teichmüller曲线的第一个完整分类结果。

We obtain the first complete classification result for algebraically primitive Teichmüller curves in a stratum component in genus greater than 2. Specifically, we show that the Veech 14-gon generates the unique algebraically primitive Teichmüller curve in the hyperelliptic component of the stratum $Ω\mathcal{M}_3(2,2)$.

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