Crepant resolution of ${\mathbb{A}}^4/A_4$ in characteristic 2

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.

arXiv comment9 pages

References in corpus (2)

• The $p$-cyclic McKay correspondence via motivic integration
• Modular quotient varieties and singularities by the cyclic group of order $2p$

Cited by in corpus (1)

• Euler characteristic of crepant resolutions of specific modular quotient singularities