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arXiv · 2408.13504

Quotient singularities by permutation actions are canonical

Takehiko Yasuda
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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.

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Takehiko Yasuda. 2024-08-24. Quotient singularities by permutation actions are canonical. https://doi.org/10.46298/epiga.2025.14300

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