{"title":"Vanishing theorem on parabolic Kähler manifolds","authors":"Teng Huang","doi":"10.1007/s10711-023-00872-1","DOIUrl":null,"url":null,"abstract":"<p>In this article, we consider the semipositive (resp. nef) line bundle on compact Kähler parabolic (resp. hyperbolic) manifolds. We prove some vanishing theorems for the <span>\\(L^{2}\\)</span>-harmonic (<i>n</i>, <i>q</i>)-form of the holomorphic line bundles over complete Kähler manifolds.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10711-023-00872-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, we consider the semipositive (resp. nef) line bundle on compact Kähler parabolic (resp. hyperbolic) manifolds. We prove some vanishing theorems for the \(L^{2}\)-harmonic (n, q)-form of the holomorphic line bundles over complete Kähler manifolds.
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