ORBIFOLD POINTS ON PRYM–TEICHMÜLLER CURVES IN GENUS
ORBIFOLD POINTS ON PRYM–TEICHMÜLLER CURVES IN GENUS
For each discriminant $D>1$, McMullen constructed the Prym-Teichm\"uller curves $W_D(4)$ and $W_D(6)$ in $\mathcal{M}_{3}$ and $\mathcal{M}_{4}$, which constitute one of the few known infinite families of geometrically primitive Teichm\"{u}ller curves. In the present paper, we determine for each $D$ the number and type of orbifold points on $W_D(6)$. These results, …