JournalsjncgVol. 14, No. 1pp. 73–103

Non-commutative crepant resolutions for some toric singularities. II

  • Špela Špenko

    Université libre de Bruxelles, Belgium

  • Michel Van den Bergh

    Hasselt University, Diepenbeek, Belgium
Non-commutative crepant resolutions for some toric singularities. II cover
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Abstract

Using the theory of dimer models Broomhead proved that every 3-dimensional Gorenstein affine toric variety Spec 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 using standard toric methods. Our proof does not use dimer models.

Cite this article

Špela Špenko, Michel Van den Bergh, Non-commutative crepant resolutions for some toric singularities. II. J. Noncommut. Geom. 14 (2020), no. 1, pp. 73–103

DOI 10.4171/JNCG/359