Resolutions of Type $\mathbb{A}$ Quantum Surface Singularities

Simon Crawford, Susan J. Sierra

Let $B={\mathbb{k}}_q[u,v{]}^{C_{n+1}}$ be a Type ${\mathbb{A}}_n$ quantum Kleinian singularity, which is an example of a noncommutative surface singularity. This singularity is known to ha…