{"title":"On pro-cdh descent on derived schemes","authors":"Shane Kelly, Shuji Saito, Georg Tamme","doi":"arxiv-2407.04378","DOIUrl":null,"url":null,"abstract":"We prove a `pro-cdh descent' result for suitably connective localizing\ninvariants and the cotangent complex on arbitrary qcqs derived schemes. As an\napplication, we deduce a generalised Weibel vanishing for negative $K$-groups\nof non-Noetherian schemes.","PeriodicalId":501143,"journal":{"name":"arXiv - MATH - K-Theory and Homology","volume":"147 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.04378","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 prove a `pro-cdh descent' result for suitably connective localizing
invariants and the cotangent complex on arbitrary qcqs derived schemes. As an
application, we deduce a generalised Weibel vanishing for negative $K$-groups
of non-Noetherian schemes.