{"title":"Stein neighbourhoods of bordered complex curves attached to holomorphically convex sets","authors":"F. Forstnerič","doi":"10.4310/ARKIV.2022.v60.n2.a6","DOIUrl":null,"url":null,"abstract":"In this paper, we construct open Stein neighbourhoods of compact sets of the form A ∪ K in a complex space, where K is a compact holomorphically convex set, A is a compact complex curve with boundary bA of class C 2 which may intersect K , and the set A ∩ K is O ( A ) -convex.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2021-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Arkiv for Matematik","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/ARKIV.2022.v60.n2.a6","RegionNum":4,"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
Abstract
In this paper, we construct open Stein neighbourhoods of compact sets of the form A ∪ K in a complex space, where K is a compact holomorphically convex set, A is a compact complex curve with boundary bA of class C 2 which may intersect K , and the set A ∩ K is O ( A ) -convex.
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