Quotient singularities by permutation actions are canonical
Algebraic Geometry
2026-05-27 v4 Rings and Algebras
Abstract
The quotient variety associated to a permutation representation of a finite group has only canonical singularities in arbitrary characteristic. Moreover, the log pair associated to such a representation is Kawamata log terminal except in characteristic two, and log canonical in arbitrary characteristic.
Keywords
Cite
@article{arxiv.2408.13504,
title = {Quotient singularities by permutation actions are canonical},
author = {Takehiko Yasuda},
journal= {arXiv preprint arXiv:2408.13504},
year = {2026}
}
Comments
17 pages. v2: minor revision. v3: added section 2.2, added more detailed explanations about stringy motives, P-moduli spaces and so on. v4: the final version appearing in EPIGA