Abstract
In this paper, we construct a crepant resolution for the quotient singularity $\mathbf{A}^{4}/A_{4}$ in characteristic 2, where $A_{4}$ is the alternating group of degree 4 with permutation action on $\mathbf{A}^{4}$. By computing the Euler number of the crepant resolution, we obtain a new counterexample to an analogous statement of McKay correspondence in positive characteristic.
Citation
Linghu Fan. "Crepant resolution of $\mathbf{A}^{4}/A_{4}$ in characteristic 2." Proc. Japan Acad. Ser. A Math. Sci. 99 (9) 71 - 76, November 2023. https://doi.org/10.3792/pjaa.99.014
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