指数为 1 的法诺三折超曲面的 K 稳定性

arXiv - MATH - Algebraic Geometry Pub Date : 2024-09-14 DOI:arxiv-2409.09492

Livia Campo, Takuzo Okada

{"title":"指数为 1 的法诺三折超曲面的 K 稳定性","authors":"Livia Campo, Takuzo Okada","doi":"arxiv-2409.09492","DOIUrl":null,"url":null,"abstract":"We settle the problem of K-stability of quasi-smooth Fano 3-fold\nhypersurfaces with Fano index 1 by providing lower bounds for their delta\ninvariants. We use the method introduced by Abban and Zhuang for computing\nlower bounds of delta invariants on flags of hypersurfaces in the Fano 3-fold.","PeriodicalId":501063,"journal":{"name":"arXiv - MATH - Algebraic Geometry","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"K-stablity of Fano threefold hypersurfaces of index 1\",\"authors\":\"Livia Campo, Takuzo Okada\",\"doi\":\"arxiv-2409.09492\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We settle the problem of K-stability of quasi-smooth Fano 3-fold\\nhypersurfaces with Fano index 1 by providing lower bounds for their delta\\ninvariants. We use the method introduced by Abban and Zhuang for computing\\nlower bounds of delta invariants on flags of hypersurfaces in the Fano 3-fold.\",\"PeriodicalId\":501063,\"journal\":{\"name\":\"arXiv - MATH - Algebraic Geometry\",\"volume\":\"8 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-14\",\"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-2409.09492\",\"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-2409.09492","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

我们解决了法诺指数为 1 的准光滑法诺 3 折叠超曲面的 K 稳定性问题，提供了它们的三角变量下界。我们使用阿班和庄引入的方法计算法诺 3 折叠超曲面旗上的三角变量下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

K-stablity of Fano threefold hypersurfaces of index 1

We settle the problem of K-stability of quasi-smooth Fano 3-fold hypersurfaces with Fano index 1 by providing lower bounds for their delta invariants. We use the method introduced by Abban and Zhuang for computing lower bounds of delta invariants on flags of hypersurfaces in the Fano 3-fold.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv - MATH - Algebraic Geometry

自引率

0.00%

发文量

期刊最新文献

A converse of Ax-Grothendieck theorem for étale endomorphisms of normal schemes MMP for Enriques pairs and singular Enriques varieties Moduli of Cubic fourfolds and reducible OADP surfaces Infinitesimal commutative unipotent group schemes with one-dimensional Lie algebra The second syzygy schemes of curves of large degree