Hi there, I have a question concerning the quotient $\mathbb{C}^3/\mu_p$ where $\mu_p=\{\zeta\in \mathbb{C}^3|\zeta^p=1\}$ acts on $\mathbb{C}^3$ via $\zeta(x,y,z)=(\zeta^{-1}x,\zeta^{-p}y,\zeta z)$. What do the links of these singularities look like? Are they real 5-dimensional $\mathbb{Q}$-homology spheres?

Regards,

Nathan