关于黄连有余的一个猜想

IF 0.7 4区数学 Q2 MATHEMATICS

Communications in Analysis and Geometry Pub Date : 2024-07-24 DOI:10.4310/cag.2023.v31.n6.a1

Lee,Tsung-Ju, Lian,Bong H., Zhang,Dingxin

{"title":"关于黄连有余的一个猜想","authors":"Lee,Tsung-Ju, Lian,Bong H., Zhang,Dingxin","doi":"10.4310/cag.2023.v31.n6.a1","DOIUrl":null,"url":null,"abstract":"We verify a formula on the solution rank of the tautological system arising from ample complete intersections in a projective homogeneous space of a semisimple group conjectured by Huang-Lian-Yau-Yu [1]. As an application, we prove the existence of the rank one point for such a system, where mirror symmetry is expected.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"134 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a conjecture of Huang-Lian-Yau-Yu\",\"authors\":\"Lee,Tsung-Ju, Lian,Bong H., Zhang,Dingxin\",\"doi\":\"10.4310/cag.2023.v31.n6.a1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We verify a formula on the solution rank of the tautological system arising from ample complete intersections in a projective homogeneous space of a semisimple group conjectured by Huang-Lian-Yau-Yu [1]. As an application, we prove the existence of the rank one point for such a system, where mirror symmetry is expected.\",\"PeriodicalId\":50662,\"journal\":{\"name\":\"Communications in Analysis and Geometry\",\"volume\":\"134 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Analysis and Geometry\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/cag.2023.v31.n6.a1\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Analysis and Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/cag.2023.v31.n6.a1","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们验证了 Huang-Lian-Yau-Yu [1]猜想的由半简单群的投影同质空间中的充裕完全相交产生的同调系统的解等级公式。作为应用，我们证明了这样一个系统的秩一点的存在，其中镜像对称是预期的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On a conjecture of Huang-Lian-Yau-Yu

We verify a formula on the solution rank of the tautological system arising from ample complete intersections in a projective homogeneous space of a semisimple group conjectured by Huang-Lian-Yau-Yu [1]. As an application, we prove the existence of the rank one point for such a system, where mirror symmetry is expected.

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

Communications in Analysis and Geometry 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.