{"title":"中伪指数法诺变种","authors":"Kiwamu Watanabe","doi":"10.1007/s00229-024-01593-9","DOIUrl":null,"url":null,"abstract":"<p>Let <i>X</i> be a complex smooth Fano variety of dimension <i>n</i>. In this paper, we give a classification of such <i>X</i> when the pseudoindex is equal to <span>\\(\\dfrac{\\dim X+1}{2}\\)</span> and the Picard number greater than one.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fano varieties of middle pseudoindex\",\"authors\":\"Kiwamu Watanabe\",\"doi\":\"10.1007/s00229-024-01593-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Let <i>X</i> be a complex smooth Fano variety of dimension <i>n</i>. In this paper, we give a classification of such <i>X</i> when the pseudoindex is equal to <span>\\\\(\\\\dfrac{\\\\dim X+1}{2}\\\\)</span> and the Picard number greater than one.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-09-16\",\"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/s00229-024-01593-9\",\"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/10.1007/s00229-024-01593-9","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
本文给出了当伪指数等于 \(\dfrac\dim X+1}{2}\) 且皮卡尔数大于一时这类 X 的分类。
Let X be a complex smooth Fano variety of dimension n. In this paper, we give a classification of such X when the pseudoindex is equal to \(\dfrac{\dim X+1}{2}\) and the Picard number greater than one.