{"title":"Homogenized funtf varieties and algebraic frame completion","authors":"Cameron Farnsworth, J. Rodriguez","doi":"10.1145/3313880.3313896","DOIUrl":null,"url":null,"abstract":"We introduce homogenized funtf (finite tight unit norm frames) varieties and study the degrees of their coordinate projections. These varieties compactify the affine funtf variety differently from the projectivizations studied in [12]. However, each are the closures (Zariski) of the set of finite tight unit norm frames. Our motivation comes from studying the algebraic frame completion problem.","PeriodicalId":7093,"journal":{"name":"ACM Commun. Comput. Algebra","volume":"1932 1","pages":"108-111"},"PeriodicalIF":0.0000,"publicationDate":"2019-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACM Commun. Comput. Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3313880.3313896","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce homogenized funtf (finite tight unit norm frames) varieties and study the degrees of their coordinate projections. These varieties compactify the affine funtf variety differently from the projectivizations studied in [12]. However, each are the closures (Zariski) of the set of finite tight unit norm frames. Our motivation comes from studying the algebraic frame completion problem.
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