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• W2735521515 abstract "We construct Knorrer type equivalences outside of the hypersurface case, namely, between singularity categories of cyclic quotient surface singularities and certain finite dimensional local algebras. This generalises Knorrer's equivalence for singularities of Dynkin type A (between Krull dimensions $2$ and $0$) and yields many new equivalences between singularity categories of finite dimensional algebras. Our construction uses noncommutative resolutions of singularities, relative singularity categories, and an idea of Hille & Ploog yielding strongly quasi-hereditary algebras which we describe explicitly by building on Wemyss's work on reconstruction algebras. Moreover, K-theory gives obstructions to generalisations of our main result." @default.
• W2735521515 created "2017-07-21" @default.
• W2735521515 creator A5023870543 @default.
• W2735521515 creator A5035832068 @default.
• W2735521515 date "2017-07-10" @default.
• W2735521515 modified "2023-10-11" @default.
• W2735521515 title "Noncommutative Knorrer type equivalences via noncommutative resolutions of singularities" @default.
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• W2735521515 hasPublicationYear "2017" @default.
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