{"title":"阳性特征稳定的3倍家族","authors":"J'anos Koll'ar","doi":"10.46298/epiga.2023.volume7.9730","DOIUrl":null,"url":null,"abstract":"We show that flat families of stable 3-folds do not lead to proper moduli\nspaces in any characteristic $p>0$. As a byproduct, we obtain log canonical\n4-fold pairs, whose log canonical centers are not weakly normal.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Families of stable 3-folds in positive characteristic\",\"authors\":\"J'anos Koll'ar\",\"doi\":\"10.46298/epiga.2023.volume7.9730\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that flat families of stable 3-folds do not lead to proper moduli\\nspaces in any characteristic $p>0$. As a byproduct, we obtain log canonical\\n4-fold pairs, whose log canonical centers are not weakly normal.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-06-06\",\"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.volume7.9730\",\"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.volume7.9730","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Families of stable 3-folds in positive characteristic
We show that flat families of stable 3-folds do not lead to proper moduli
spaces in any characteristic $p>0$. As a byproduct, we obtain log canonical
4-fold pairs, whose log canonical centers are not weakly normal.