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.
Description
[2305.05905] Crepant resolution of $\mathbb{A}^4/A_4$ in characteristic 2
%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
}