{"title":"具有大反正则类的变种的k -稳定性","authors":"Chenyang Xu","doi":"10.46298/epiga.2023.10231","DOIUrl":null,"url":null,"abstract":"We extend the algebraic K-stability theory to projective klt pairs with a big\nanticanonical class. While in general such a pair could behave pathologically,\nit is observed in this note that K-semistability condition will force them to\nhave a klt anticanonical model, whose stability property is the same as the\noriginal pair.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"K-stability for varieties with a big anticanonical class\",\"authors\":\"Chenyang Xu\",\"doi\":\"10.46298/epiga.2023.10231\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We extend the algebraic K-stability theory to projective klt pairs with a big\\nanticanonical class. While in general such a pair could behave pathologically,\\nit is observed in this note that K-semistability condition will force them to\\nhave a klt anticanonical model, whose stability property is the same as the\\noriginal pair.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-10-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/epiga.2023.10231\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2023.10231","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
K-stability for varieties with a big anticanonical class
We extend the algebraic K-stability theory to projective klt pairs with a big
anticanonical class. While in general such a pair could behave pathologically,
it is observed in this note that K-semistability condition will force them to
have a klt anticanonical model, whose stability property is the same as the
original pair.
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