4 problems

Let $\Gamma\subset\operatorname{SU}(3)$ be an abelian group acting on $\mathbb{C}^3$ freely outside the origin. Let $X_0=\mathbb{C}^3/\Gamma$, and let…

Let $\Gamma\subset\operatorname{SU}(3)$, let $X_\zeta$ be the moduli space associated with a generic parameter $\zeta$, and let $(M^{0,*,\Gamma},\bar{\partial}_\alpha)$ be the diff…

Let $\Gamma$ be a finite group acting linearly on $\mathbb C^n$, freely outside the origin, and let $X_\zeta$ be the associated moduli space for a parameter $\zeta\in\mathbb Q^N$,…

Let $G=\operatorname{SL}_n$, let $\hat{G}=\operatorname{PGL}_n$, and let $\Gamma=\operatorname{Pic}^0(C)[n]$. Fix a line bundle $D$ on $C$ that is either isomorphic to the canonica…