Non-Commutative Deformations of Derived McKay Correspondence for A(n) singularities
Algebraic Geometry
2024-10-22 v1
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.
Keywords
Cite
@article{arxiv.2410.15340,
title = {Non-Commutative Deformations of Derived McKay Correspondence for A(n) singularities},
author = {Yujiro Kawamata},
journal= {arXiv preprint arXiv:2410.15340},
year = {2024}
}
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27 pages