Veech 14-gon的唯一性
Uniqueness of the Veech 14-gon
摘要:
我们获得了代数本原Teichmüller曲线在亏格大于2的地层分量中的第一个完整分类结果。具体而言,我们表明,Veech 14-gon生成的唯一代数原始Teichmüller曲线的超椭圆分量的地层$Ω\mathcal{M}_3(2,2)$。
英文摘要:
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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