On smoothness of minimal models of quotient singularities by finite subgroups of $S{L}_n(\mathbb{C})$

Ryo Yamagishi

We prove that a quotient singularity ${\mathbb{C}}^n/G$ by a finite subgroup $G\subset S{L}_n(\mathbb{C})$ has a crepant resolution only if $G$ is generated by junior elements. This…