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

Abstract

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

arXiv comment16 pages, comments are welcome