Algebraically primitive Teichmüller curves in Ω\mathcal M_g(2g-2)^{\mathrm{hyp}}

Source abstract

We give a complete classification of algebraically primitive Teichmüller curves in $Ω\mathcal M_g(2g-2)^{\mathrm{hyp}}$ for $g\ge5$. They are precisely the curves generated by the double regular $(2g+1)$-gon when $2g+1$ is prime, and by the regular $4g$-gon when $g$ is a power of two.