{"title":"投影K3曲面的粘合构造","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":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"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\":41470,\"journal\":{\"name\":\"Epijournal de Geometrie Algebrique\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Epijournal de Geometrie Algebrique\",\"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\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","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":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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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