{"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}
引用次数: 0
Abstract
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.