{"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":49887,"journal":{"name":"Manuscripta Mathematica","volume":"37 1","pages":""},"PeriodicalIF":0.5000,"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\":49887,\"journal\":{\"name\":\"Manuscripta Mathematica\",\"volume\":\"37 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Manuscripta Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00229-024-01593-9\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Manuscripta Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00229-024-01593-9","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","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.
期刊介绍:
manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.