{"title":"K-polystability of Fano 4-folds with large Lefschetz defect","authors":"Eleonora A. Romano, Saverio A. Secci","doi":"arxiv-2409.03571","DOIUrl":null,"url":null,"abstract":"We study K-stability on smooth complex Fano 4-folds having large Lefschetz\ndefect, that is greater or equal then 3, with a special focus on the case of\nLefschetz defect 3. In particular, we determine whether these Fano 4-folds are\nK-polystable or not, and show that there are 5 families (out of 19) of\nK-polystable smooth Fano 4-folds with Lefschetz defect 3.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.03571","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study K-stability on smooth complex Fano 4-folds having large Lefschetz
defect, that is greater or equal then 3, with a special focus on the case of
Lefschetz defect 3. In particular, we determine whether these Fano 4-folds are
K-polystable or not, and show that there are 5 families (out of 19) of
K-polystable smooth Fano 4-folds with Lefschetz defect 3.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
