{"title":"阶 3 和阶 14 的法诺三维的 K 稳定性","authors":"Grigory Belousov, Konstantin Loginov","doi":"10.1007/s11565-024-00526-4","DOIUrl":null,"url":null,"abstract":"<div><p>We prove that all general smooth Fano threefolds of Picard rank 3 and degree 14 are K-stable, where the generality condition is stated explicitly.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"1093 - 1114"},"PeriodicalIF":0.0000,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"K-stability of Fano threefolds of rank 3 and degree 14\",\"authors\":\"Grigory Belousov, Konstantin Loginov\",\"doi\":\"10.1007/s11565-024-00526-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We prove that all general smooth Fano threefolds of Picard rank 3 and degree 14 are K-stable, where the generality condition is stated explicitly.</p></div>\",\"PeriodicalId\":35009,\"journal\":{\"name\":\"Annali dell''Universita di Ferrara\",\"volume\":\"70 3\",\"pages\":\"1093 - 1114\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali dell''Universita di Ferrara\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11565-024-00526-4\",\"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":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-024-00526-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
摘要
我们证明了所有皮卡等级为 3、度数为 14 的一般光滑法诺三褶都是 K 稳定的，其中明确指出了一般性条件。
期刊介绍：
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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