{"title":"关于派生方案上的 pro-cdh 血统","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":"{\"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}","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}
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.
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