{"title":"Alexander模的半简单性","authors":"A. Libgober","doi":"10.5427/jsing.2022.25n","DOIUrl":null,"url":null,"abstract":"We discuss examples of smooth quasi-projective manifolds with non-reduced Alexander modules, giving a non-semisimple Alexander module in one variable case and prove a result giving sufficient conditions for semisimplicity.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Remarks on semi-simplicity of Alexander modules\",\"authors\":\"A. Libgober\",\"doi\":\"10.5427/jsing.2022.25n\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We discuss examples of smooth quasi-projective manifolds with non-reduced Alexander modules, giving a non-semisimple Alexander module in one variable case and prove a result giving sufficient conditions for semisimplicity.\",\"PeriodicalId\":44411,\"journal\":{\"name\":\"Journal of Singularities\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Singularities\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5427/jsing.2022.25n\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Singularities","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5427/jsing.2022.25n","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
We discuss examples of smooth quasi-projective manifolds with non-reduced Alexander modules, giving a non-semisimple Alexander module in one variable case and prove a result giving sufficient conditions for semisimplicity.
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