Takehiko Yasuda - Quotient singularities by permutation actions are canonical

epiga:14300 - Épijournal de Géométrie Algébrique, December 19, 2025, Volume 9 - https://doi.org/10.46298/epiga.2025.14300
Quotient singularities by permutation actions are canonicalArticle

Authors: Takehiko Yasuda

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.

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

https://doi.org/10.46298/epiga.2025.14300
Source: arXiv.org:2408.13504
Volume: Volume 9
Published on: December 19, 2025
Accepted on: July 31, 2025
Submitted on: September 19, 2024
Keywords: Algebraic Geometry, Rings and Algebras, 14G05, 14G07, 13A50
Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)

Classifications

Mathematics Subject Classification 20201
Sources:
  • [1] zbMATH Open.

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