We give an introduction to the McKay correspondence and its connection to quotients of Cn by finite reflection groups. This yields a natural construction of noncommutative resolutions of the discriminants of these reflection groups. This paper is an extended version of E. F.’s talk with the same title delivered at the ICRA.

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Keywords Hyperplane arrangements, Macaulay modules, Matrix factorizations, Maximal Cohen, Noncommutative desingularization, Reflection groups
Persistent URL dx.doi.org/10.1090/conm/705/14199
Citation
Buchweitz, R.-O. (Ragnar-Olaf), Faber, E. (Eleonore), & Ingalls, C. (2018). Noncommutative resolutions of discriminants. In Contemporary Mathematics (pp. 37–52). doi:10.1090/conm/705/14199