Quotient singularities by permutation actions are canonical

Published 24 Aug 2024 in math.AG and math.RA | (2408.13504v2)

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

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