Indecomposable crepant categorical resolutions conjecture

Let YY be a singular variety admitting crepant categorical resolutions, and call a categorical resolution indecomposable when it has no nontrivial decomposition in the relevant categorical sense. Indecomposable crepant resolution conjecture. Every indecomposable crepant categorical resolution of YY is minimal. In particular, all crepant categorical resolutions of YY are equivalent. The claim predicts uniqueness up to equivalence for crepant categorical resolutions, but the source provides no resolution of it.

Sources & referencesView supporting material

Primary source

Alexander Kuznetsov, “Lefschetz decompositions and Categorical resolutions of singularities”, arXiv:math/0609240 (2006).

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