{"title":"Subvarieties of a very general logarithmic projective space","authors":"Takeshi Abe","doi":"10.1112/plms.12621","DOIUrl":null,"url":null,"abstract":"Let be a very general degree hypersurface and be a subvariety of not contained in . When , we show that the pair is of log‐general type unless is a union of lines that either meet set‐theoretically in at most two points or are contained in .","PeriodicalId":49667,"journal":{"name":"Proceedings of the London Mathematical Society","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the London Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1112/plms.12621","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Let be a very general degree hypersurface and be a subvariety of not contained in . When , we show that the pair is of log‐general type unless is a union of lines that either meet set‐theoretically in at most two points or are contained in .
期刊介绍：
The Proceedings of the London Mathematical Society is the flagship journal of the LMS. It publishes articles of the highest quality and significance across a broad range of mathematics. There are no page length restrictions for submitted papers.
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