Non-commutative crepant resolutions for some toric singularities. II
Špela Špenko
Université libre de Bruxelles, BelgiumMichel Van den Bergh
Hasselt University, Diepenbeek, Belgium
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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