{"title":"排列作用的商奇点是典型的","authors":"Takehiko Yasuda","doi":"arxiv-2408.13504","DOIUrl":null,"url":null,"abstract":"The quotient variety associated to a permutation representation of a finite\ngroup has only canonical singularities in arbitrary characteristic. Moreover,\nthe log pair associated to such a representation is Kawamata log terminal\nexcept in characteristic two, and log canonical in arbitrary characteristic.","PeriodicalId":501136,"journal":{"name":"arXiv - MATH - Rings and Algebras","volume":"53 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quotient singularities by permutation actions are canonical\",\"authors\":\"Takehiko Yasuda\",\"doi\":\"arxiv-2408.13504\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The quotient variety associated to a permutation representation of a finite\\ngroup has only canonical singularities in arbitrary characteristic. Moreover,\\nthe log pair associated to such a representation is Kawamata log terminal\\nexcept in characteristic two, and log canonical in arbitrary characteristic.\",\"PeriodicalId\":501136,\"journal\":{\"name\":\"arXiv - MATH - Rings and Algebras\",\"volume\":\"53 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Rings and Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.13504\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.13504","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Quotient singularities by permutation actions are canonical
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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