Non-commutative resolutions of linearly reductive quotient singularities
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866912063305023488 |
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| author | Liedtke, Christian Yasuda, Takehiko |
| author_facet | Liedtke, Christian Yasuda, Takehiko |
| contents | We prove existence of non-commutative crepant resolutions (in the sense of van den Bergh) of quotient singularities by finite and linearly reductive group schemes in positive characteristic. In dimension two, we relate these to resolutions of singularities provided by G-Hilbert schemes and F-blowups. As an application, we establish and recover results concerning resolutions for toric singularities, as well as canonical, log terminal, and F-regular singularities in dimension 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_14711 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-commutative resolutions of linearly reductive quotient singularities Liedtke, Christian Yasuda, Takehiko Algebraic Geometry Commutative Algebra Rings and Algebras 14A22, 14B05, 13A35 We prove existence of non-commutative crepant resolutions (in the sense of van den Bergh) of quotient singularities by finite and linearly reductive group schemes in positive characteristic. In dimension two, we relate these to resolutions of singularities provided by G-Hilbert schemes and F-blowups. As an application, we establish and recover results concerning resolutions for toric singularities, as well as canonical, log terminal, and F-regular singularities in dimension 2. |
| title | Non-commutative resolutions of linearly reductive quotient singularities |
| topic | Algebraic Geometry Commutative Algebra Rings and Algebras 14A22, 14B05, 13A35 |
| url | https://arxiv.org/abs/2304.14711 |