Non-Commutative Deformations of Derived McKay Correspondence for A(n) singularities
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914980962500608 |
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| author | Kawamata, Yujiro |
| author_facet | Kawamata, Yujiro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15340 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Commutative Deformations of Derived McKay Correspondence for A(n) singularities Kawamata, Yujiro Algebraic Geometry 14B07, 14E16, 14F08 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. |
| title | Non-Commutative Deformations of Derived McKay Correspondence for A(n) singularities |
| topic | Algebraic Geometry 14B07, 14E16, 14F08 |
| url | https://arxiv.org/abs/2410.15340 |