# Non-commutative crepant resolutions for some toric singularities II

@article{vSpenko2017NoncommutativeCR, title={Non-commutative crepant resolutions for some toric singularities II}, author={vSpela vSpenko and Michel van den Bergh}, journal={arXiv: Algebraic Geometry}, year={2017} }

Using the theory of dimer models Broomhead proved that every 3-dimensional Gorenstein affine toric variety Spec R admits a toric non-commutative crepant resolution (NCCR). We give an alternative proof of this result by constructing a tilting bundle on a (stacky) crepant resolution of Spec R using standard toric methods. Our proof does not use dimer models.

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