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arXiv · 2210.09702

Uniqueness of the Veech 14-gon

Karl Winsor
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Abstract

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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Karl Winsor. 2022-10-18. Uniqueness of the Veech 14-gon. https://arxiv.org/abs/2210.09702

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