{"title":"张量三角形几何中有限态射的表征","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":41470,"journal":{"name":"Epijournal de Geometrie Algebrique","volume":"1 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"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\":41470,\"journal\":{\"name\":\"Epijournal de Geometrie Algebrique\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Epijournal de Geometrie Algebrique\",\"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\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Epijournal de Geometrie Algebrique","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":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
A characterization of finite \'etale morphisms in tensor triangular geometry
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).