Crepant resolution of $\mathbb{A}^4/A_4$ in characteristic 2
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913549131972608 |
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| author | Fan, Linghu |
| author_facet | Fan, Linghu |
| contents | In this paper, we construct a crepant resolution for the quotient singularity $\mathbb{A}^4/A_4$ in characteristic 2, where $A_4$ is the alternating group of degree 4 with permutation action on $\mathbb{A}^4$. By computing the Euler number of the crepant resolution, we obtain a new counterexample to an analogous statement of McKay correspondence in positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_05905 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Crepant resolution of $\mathbb{A}^4/A_4$ in characteristic 2 Fan, Linghu Algebraic Geometry In this paper, we construct a crepant resolution for the quotient singularity $\mathbb{A}^4/A_4$ in characteristic 2, where $A_4$ is the alternating group of degree 4 with permutation action on $\mathbb{A}^4$. By computing the Euler number of the crepant resolution, we obtain a new counterexample to an analogous statement of McKay correspondence in positive characteristic. |
| title | Crepant resolution of $\mathbb{A}^4/A_4$ in characteristic 2 |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2305.05905 |