{"title":"X-ranks for embedded varieties and extensions of fields","authors":"E. Ballico","doi":"10.47443/cm.2022.021","DOIUrl":null,"url":null,"abstract":"Let X ⊂ P r be a projective embedded variety defined over a field K . Results relating maximum and generic X -rank of points of P r ( K ) and P r ( L ) are given, where L is a field containing K . Some of these results are algebraically closed for K and L . In other results (e.g. on the cactus rank), L is a finite extension of K .","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":"24 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2022-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contributions To Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.47443/cm.2022.021","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Let X ⊂ P r be a projective embedded variety defined over a field K . Results relating maximum and generic X -rank of points of P r ( K ) and P r ( L ) are given, where L is a field containing K . Some of these results are algebraically closed for K and L . In other results (e.g. on the cactus rank), L is a finite extension of K .
期刊介绍：
Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.
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