{"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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1093/imrn/rnae111\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1093/imrn/rnae111","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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