{"title":"A characterization of finite \\'etale morphisms in tensor triangular geometry","authors":"Beren Sanders","doi":"10.46298/epiga.2022.volume6.7641","DOIUrl":null,"url":null,"abstract":"We provide a characterization of finite \\'etale morphisms in tensor\ntriangular geometry. They are precisely those functors which have a\nconservative right adjoint, satisfy Grothendieck--Neeman duality, and for which\nthe relative dualizing object is trivial (via a canonically-defined map).","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/epiga.2022.volume6.7641","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
We provide a characterization of finite \'etale morphisms in tensor
triangular geometry. They are precisely those functors which have a
conservative right adjoint, satisfy Grothendieck--Neeman duality, and for which
the relative dualizing object is trivial (via a canonically-defined map).
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