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arXiv · 1707.08245

Non-commutative crepant resolutions for some toric singularities II

Špela Špenko·Michel Van den Bergh
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Abstract

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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Špela Špenko, Michel Van den Bergh. 2017-07-25. Non-commutative crepant resolutions for some toric singularities II. https://arxiv.org/abs/1707.08245

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