{"title":"ACC for local volumes","authors":"Jingjun Han, Jihao Liu, Lu Qi","doi":"arxiv-2408.15090","DOIUrl":null,"url":null,"abstract":"We prove the ACC conjecture for local volumes. Moreover, when the local\nvolume is bounded away from zero, we prove Shokurov's ACC conjecture for\nminimal log discrepancies.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":"39 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ACC for local volumes\",\"authors\":\"Jingjun Han, Jihao Liu, Lu Qi\",\"doi\":\"arxiv-2408.15090\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove the ACC conjecture for local volumes. Moreover, when the local\\nvolume is bounded away from zero, we prove Shokurov's ACC conjecture for\\nminimal log discrepancies.\",\"PeriodicalId\":501063,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Geometry\",\"volume\":\"39 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Algebraic Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.15090\",\"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 - Algebraic Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.15090","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We prove the ACC conjecture for local volumes. Moreover, when the local
volume is bounded away from zero, we prove Shokurov's ACC conjecture for
minimal log discrepancies.
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