{"title":"复杂超平面排列补集上ℤ局部系统的同调性","authors":"Yongqiang Liu, Laurenţiu Maxim, Botong Wang","doi":"10.1093/imrn/rnae111","DOIUrl":null,"url":null,"abstract":"We prove a Cohen-Dimca-Orlik-type theorem for rank one ${\\mathbb{Z}}$-local systems on complex hyperplane arrangement complements. This settles a recent conjecture of S. Sugawara.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":"32 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cohomology of ℤ-Local Systems on Complex Hyperplane Arrangement Complements\",\"authors\":\"Yongqiang Liu, Laurenţiu Maxim, Botong Wang\",\"doi\":\"10.1093/imrn/rnae111\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a Cohen-Dimca-Orlik-type theorem for rank one ${\\\\mathbb{Z}}$-local systems on complex hyperplane arrangement complements. This settles a recent conjecture of S. Sugawara.\",\"PeriodicalId\":14461,\"journal\":{\"name\":\"International Mathematics Research Notices\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Mathematics Research Notices\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1093/imrn/rnae111\",\"RegionNum\":2,\"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":"International Mathematics Research Notices","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1093/imrn/rnae111","RegionNum":2,"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
我们证明了复超平面排列补集上秩一 ${mathbb{Z}}$ 局域系统的科恩-迪姆卡-奥利克型定理。这解决了 S. Sugawara 最近的一个猜想。
Cohomology of ℤ-Local Systems on Complex Hyperplane Arrangement Complements
We prove a Cohen-Dimca-Orlik-type theorem for rank one ${\mathbb{Z}}$-local systems on complex hyperplane arrangement complements. This settles a recent conjecture of S. Sugawara.
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International Mathematics Research Notices provides very fast publication of research articles of high current interest in all areas of mathematics. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics.
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