Non-commutative crepant resolutions for some toric singularities. II

Using the theory of dimer models Broomhead proved that every 3-dimensional Gorenstein aftine tonic variety Spec R admits a tonic 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 tonic methods. Our proof does not use dimer models.

Publication year:2020

Keywords:Tonic varieties, tilting bundle, noncommutative resolution

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BOF-publication weight:1

CSS-citation score:1

Authors from:Higher Education

Accessibility:Open