Abstract
Let be a finite subgroup of and let be the coordinate ring of the corresponding Kleinian singularity. In 1998, Crawley-Boevey and Holland defined deformations of parametrised by weights . In this paper, we determine the singularity categories of these deformations, and show that they correspond to subgraphs of the Dynkin graph associated to . This generalises known results on the structure of . We also provide a generalisation of the intersection theory appearing in the geometric McKay correspondence to a noncommutative setting.
Citation
Simon Crawford. "Singularity categories of deformations of Kleinian singularities." Algebra Number Theory 14 (2) 349 - 382, 2020. https://doi.org/10.2140/ant.2020.14.349
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