Complete classification of algebraically primitive Teichmüller curves in $Ω\mathcal{M}_g(g-1,g-1)^{\mathrm{hyp}}$

Myeongjae Lee

Source record

Source: arXiv

Published: Sep 21, 2026

arXiv: 2609.24587

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Source abstract

We give a complete classification of algebraically primitive Teichmüller curves in $Ω\mathcal M_g(g-1,g-1)^{\mathrm{hyp}}$ for $g>2$ . These curves are precisely those generated by the Veech $2p$ -gons, where $p=2g+1$ is prime.

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