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

Myeongjae Lee

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…