Universal commensurability augmented Teichmüller space and moduli space

Guangming Hu, Hideki Miyachi, Yi Qi

It is known that every finitely unbranched covering $\alpha :{\tilde{S}}_{g(\alpha )}\to S$ of a compact Riemann surface $S$ with genus $g\ge 2$ induces an isometric embedding ${\Gamma }_{\alpha }$…