{"title":"Embedding Theorems for Flexible Varieties","authors":"S. Kaliman","doi":"10.1307/mmj/20226268","DOIUrl":null,"url":null,"abstract":". Let Z be an affine algebraic variety and X be a smooth flexible variety. We develop some criteria under which Z admits a closed embedding into X . In particular, we show that if X is isomorphic (as an algebraic variety) to a special linear group and dim X ≥ max(2 dim Z + 1 , dim T Z ) , then Z admits a closed embedding into X .","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Michigan Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1307/mmj/20226268","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. Let Z be an affine algebraic variety and X be a smooth flexible variety. We develop some criteria under which Z admits a closed embedding into X . In particular, we show that if X is isomorphic (as an algebraic variety) to a special linear group and dim X ≥ max(2 dim Z + 1 , dim T Z ) , then Z admits a closed embedding into X .
期刊介绍:
The Michigan Mathematical Journal is available electronically through the Project Euclid web site. The electronic version is available free to all paid subscribers. The Journal must receive from institutional subscribers a list of Internet Protocol Addresses in order for members of their institutions to have access to the online version of the Journal.