Non-commutative crepant resolutions for some toric singularities II

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