{"title":"$p$-complete arc-descent for perfect complexes over integral perfectoid rings","authors":"Kazuhiro Ito","doi":"10.4310/mrl.2023.v30.n6.a4","DOIUrl":null,"url":null,"abstract":"We prove $p$-complete arc-descent results for finite projective modules and perfect complexes over integral perfectoid rings.Using our resul,we clarify a reduction argument in the proof of the classification of $p$-divisible groups over integral perfectoid rings given by Scholze–Weinstein.","PeriodicalId":49857,"journal":{"name":"Mathematical Research Letters","volume":"18 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Research Letters","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/mrl.2023.v30.n6.a4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
We prove $p$-complete arc-descent results for finite projective modules and perfect complexes over integral perfectoid rings.Using our resul,we clarify a reduction argument in the proof of the classification of $p$-divisible groups over integral perfectoid rings given by Scholze–Weinstein.
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