%0 Generic %1 fan2023crepant %A Fan, Linghu %D 2023 %K crepant singularity %R 10.3792/pjaa.99.014 %T Crepant resolution of $A^4/A_4$ in characteristic 2 %U http://arxiv.org/abs/2305.05905 %X In this paper, we construct a crepant resolution for the quotient singularity $A^4/A_4$ in characteristic 2, where $A_4$ is the alternating group of degree 4 with permutation action on $A^4$. By computing the Euler number of the crepant resolution, we obtain a new counterexample to an analogous statement of McKay correspondence in positive characteristic.

@misc{fan2023crepant, abstract = {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.}, added-at = {2023-12-06T16:51:29.000+0100}, author = {Fan, Linghu}, biburl = {https://www.bibsonomy.org/bibtex/2b9493abb364f0153607fb991820d35fe/amathematician}, description = {[2305.05905] Crepant resolution of $\mathbb{A}^4/A_4$ in characteristic 2}, doi = {10.3792/pjaa.99.014}, interhash = {79d597d9fcae4c839c84b0e72283fba6}, intrahash = {b9493abb364f0153607fb991820d35fe}, keywords = {crepant singularity}, note = {cite arxiv:2305.05905Comment: 9 pages}, timestamp = {2023-12-06T16:51:29.000+0100}, title = {Crepant resolution of $\mathbb{A}^4/A_4$ in characteristic 2}, url = {http://arxiv.org/abs/2305.05905}, year = 2023 }