Extended McKay correspondence for quotient surface singularities

Akira Ishii, Iku Nakamura

Let $G$ be a finite subgroup of $\mbox{GL}(2)$ acting on ${\mathbf{A}}^2\setminus \{0\}$ freely. The $G$-orbit Hilbert scheme $G\mbox{-Hilb}(\mathbf{A}^2)$ is a minimal resolution of…