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arXiv · 2410.15340

Non-Commutative Deformations of Derived McKay Correspondence for A(n) singularities

Yujiro Kawamata
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Abstract

The derived McKay correspondence conjecture says that there is an equivalence of triangulated categories between the bounded derived categories of commutative and non-commutative crepant resolutions of a Gorenstein singularity. We will prove that this derived equivalence extends between the semi-universal non-commutative deformations of the commutative and the non-commutative crepant resolutions of a toric surface singularity.

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Yujiro Kawamata. 2024-10-20. Non-Commutative Deformations of Derived McKay Correspondence for A(n) singularities. https://arxiv.org/abs/2410.15340

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