{"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":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"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\":41470,\"journal\":{\"name\":\"Epijournal de Geometrie Algebrique\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Epijournal de Geometrie Algebrique\",\"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\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","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":"Q2","JCRName":"MATHEMATICS","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.