{"title":"关于简单分层的简短说明","authors":"Dominik J. Wrazidlo","doi":"10.1090/bproc/168","DOIUrl":null,"url":null,"abstract":"We show that the simplicial stratification associated to a triangulation of a PL pseudomanifold possesses a canonical system of trivializations of link bundles that satisfies a natural compatibility condition over nested singular strata. Consequently, Agustín Vicente and Fernández de Bobadilla’s generalization of Banagl’s intersection space construction is applicable to all PL pseudomanifolds (and in particular, to all complex algebraic varieties).","PeriodicalId":106316,"journal":{"name":"Proceedings of the American Mathematical Society, Series B","volume":"122 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A short note on simplicial stratifications\",\"authors\":\"Dominik J. Wrazidlo\",\"doi\":\"10.1090/bproc/168\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the simplicial stratification associated to a triangulation of a PL pseudomanifold possesses a canonical system of trivializations of link bundles that satisfies a natural compatibility condition over nested singular strata. Consequently, Agustín Vicente and Fernández de Bobadilla’s generalization of Banagl’s intersection space construction is applicable to all PL pseudomanifolds (and in particular, to all complex algebraic varieties).\",\"PeriodicalId\":106316,\"journal\":{\"name\":\"Proceedings of the American Mathematical Society, Series B\",\"volume\":\"122 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the American Mathematical Society, Series B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/bproc/168\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the American Mathematical Society, Series B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/bproc/168","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
我们证明了与PL伪流形三角剖分相关的简单分层具有满足嵌套奇异层上自然相容条件的连接束平凡化的规范系统。因此,Agustín Vicente和Fernández de Bobadilla对Banagl交空间构造的推广适用于所有PL伪泛形(特别是所有复代数变体)。
We show that the simplicial stratification associated to a triangulation of a PL pseudomanifold possesses a canonical system of trivializations of link bundles that satisfies a natural compatibility condition over nested singular strata. Consequently, Agustín Vicente and Fernández de Bobadilla’s generalization of Banagl’s intersection space construction is applicable to all PL pseudomanifolds (and in particular, to all complex algebraic varieties).