{"title":"伯格曼函数与奇异域的等价问题","authors":"Bingyi Chen, Stephen S.-T. Yau","doi":"10.4310/cag.2023.v31.n2.a8","DOIUrl":null,"url":null,"abstract":"In this article, we use the Bergman function, which is introduced by the second author in $\\href{ https://dx.doi.org/10.4310/MRL.2004.v11.n6.a8}{[\\textrm{Ya}]}$, to study the equivalence problem of bounded complete Reinhardt domains in the singular variety $\\widetilde{V} = \\lbrace (u_1, u_2, u_3, u_4) \\in \\mathbb{C}^4 \\vert u_1 u_4 = u_2 u_3 \\rbrace$.","PeriodicalId":50662,"journal":{"name":"Communications in Analysis and Geometry","volume":"2 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bergman functions and the equivalence problem of singular domains\",\"authors\":\"Bingyi Chen, Stephen S.-T. Yau\",\"doi\":\"10.4310/cag.2023.v31.n2.a8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we use the Bergman function, which is introduced by the second author in $\\\\href{ https://dx.doi.org/10.4310/MRL.2004.v11.n6.a8}{[\\\\textrm{Ya}]}$, to study the equivalence problem of bounded complete Reinhardt domains in the singular variety $\\\\widetilde{V} = \\\\lbrace (u_1, u_2, u_3, u_4) \\\\in \\\\mathbb{C}^4 \\\\vert u_1 u_4 = u_2 u_3 \\\\rbrace$.\",\"PeriodicalId\":50662,\"journal\":{\"name\":\"Communications in Analysis and Geometry\",\"volume\":\"2 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-12-06\",\"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.n2.a8\",\"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.n2.a8","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Bergman functions and the equivalence problem of singular domains
In this article, we use the Bergman function, which is introduced by the second author in $\href{ https://dx.doi.org/10.4310/MRL.2004.v11.n6.a8}{[\textrm{Ya}]}$, to study the equivalence problem of bounded complete Reinhardt domains in the singular variety $\widetilde{V} = \lbrace (u_1, u_2, u_3, u_4) \in \mathbb{C}^4 \vert u_1 u_4 = u_2 u_3 \rbrace$.
期刊介绍:
Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.