{"title":"REAL TOPOLOGICAL HOCHSCHILD HOMOLOGY OF SCHEMES","authors":"J. Hornbostel, Doosung Park","doi":"10.1017/s1474748023000178","DOIUrl":null,"url":null,"abstract":"\n We prove that real topological Hochschild homology \n \n \n \n$\\mathrm {THR}$\n\n \n for schemes with involution satisfies base change and descent for the \n \n \n \n${\\mathbb {Z}/2}$\n\n \n -isovariant étale topology. As an application, we provide computations for the projective line (with and without involution) and the higher-dimensional projective spaces.","PeriodicalId":50002,"journal":{"name":"Journal of the Institute of Mathematics of Jussieu","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Institute of Mathematics of Jussieu","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/s1474748023000178","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
We prove that real topological Hochschild homology
$\mathrm {THR}$
for schemes with involution satisfies base change and descent for the
${\mathbb {Z}/2}$
-isovariant étale topology. As an application, we provide computations for the projective line (with and without involution) and the higher-dimensional projective spaces.
期刊介绍：
The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.
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