ORBIFOLD POINTS ON PRYM–TEICHMÜLLER CURVES IN GENUS $4$

@article{TorresTeigell2017ORBIFOLDPO,
  title={ORBIFOLD POINTS ON PRYM–TEICHM{\"U}LLER CURVES IN GENUS \$4\$},
  author={David Torres-Teigell and Jonathan Zachhuber},
  journal={Journal of the Institute of Mathematics of Jussieu},
  year={2017},
  volume={18},
  pages={673 - 706}
}
For each discriminant $D>1$ , McMullen constructed the Prym–Teichmüller 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 Teichmüller curves. In the present paper, we determine for each $D$ the number and type of orbifold points on $W_{D}(6)$ . These results, together with a previous result of the two authors in the genus $3$ case and with results of Lanneau–Nguyen and Möller… 
5 Citations
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