A crepant categorical resolution of an isolated A2 singularity is shown to be a Verdier localization, with kernel generated by two 2-spherical objects (even dimension) or one non-spherical object (odd), and for cuspidal cubic fourfolds equivalent to D^b of a K3 surface.
Representable functors, Serre func- tors and reconstructions
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Categorical resolutions of cuspidal singularities
A crepant categorical resolution of an isolated A2 singularity is shown to be a Verdier localization, with kernel generated by two 2-spherical objects (even dimension) or one non-spherical object (odd), and for cuspidal cubic fourfolds equivalent to D^b of a K3 surface.