{"title":"A gluing construction of projective K3 surfaces","authors":"T. Koike, Takato Uehara","doi":"10.46298/epiga.2022.volume6.8504","DOIUrl":null,"url":null,"abstract":"We construct a non-Kummer projective K3 surface $X$ which admits compact\nLevi-flats by holomorphically patching two open complex surfaces obtained as\nthe complements of tubular neighborhoods of elliptic curves embedded in\nblow-ups of the projective plane at nine general points.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2022.volume6.8504","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
We construct a non-Kummer projective K3 surface $X$ which admits compact
Levi-flats by holomorphically patching two open complex surfaces obtained as
the complements of tubular neighborhoods of elliptic curves embedded in
blow-ups of the projective plane at nine general points.
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