{"title":"P3 中光滑曲面的伽罗瓦斜线","authors":"Taro Hayashi","doi":"10.1080/00927872.2024.2378223","DOIUrl":null,"url":null,"abstract":"It is known that the degree of irrationality irr(X) of a smooth surface X of degree d≥5 in P3 is at least d – 2. In this paper, we study a Galois rational map f:X−−→P2 of degree d – 2, and we show ...","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Galois skew lines of smooth surfaces in P3\",\"authors\":\"Taro Hayashi\",\"doi\":\"10.1080/00927872.2024.2378223\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is known that the degree of irrationality irr(X) of a smooth surface X of degree d≥5 in P3 is at least d – 2. In this paper, we study a Galois rational map f:X−−→P2 of degree d – 2, and we show ...\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2378223\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2378223","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
已知 P3 中阶数 d≥5 的光滑曲面 X 的无理度 irr(X) 至少为 d - 2。本文研究了度数为 d - 2 的伽罗瓦有理映射 f:X--→P2，并证明了...
It is known that the degree of irrationality irr(X) of a smooth surface X of degree d≥5 in P3 is at least d – 2. In this paper, we study a Galois rational map f:X−−→P2 of degree d – 2, and we show ...
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