{"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}
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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.
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