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- W2545756421 startingPage "349" @default.
- W2545756421 abstract "Let $G$ be a finite subgroup of $text{SL}(2,Bbbk)$ and let $R = Bbbk[x,y]^G$ be the coordinate ring of the corresponding Kleinian singularity. In 1998, Crawley-Boevey and Holland defined deformations $mathcal{O}^lambda$ of $R$ parametrised by weights $lambda$. In this paper, we determine the singularity categories $mathcal{D}_{text{sg}}(mathcal{O}^lambda)$ of these deformations, and show that they correspond to subgraphs of the Dynkin graph associated to $R$. This generalises known results on the structure of $mathcal{D}_{text{sg}}(R)$. We also provide a generalisation of the intersection theory appearing in the geometric McKay correspondence to a noncommutative setting." @default.
- W2545756421 created "2016-11-04" @default.
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- W2545756421 date "2020-05-29" @default.
- W2545756421 modified "2023-10-01" @default.
- W2545756421 title "Singularity categories of deformations of Kleinian singularities" @default.
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- W2545756421 doi "https://doi.org/10.2140/ant.2020.14.349" @default.
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