{"title":"Perfectoid spaces arising from arithmetic jet spaces","authors":"A. Buium, L. Miller","doi":"10.1353/ajm.2023.0006","DOIUrl":null,"url":null,"abstract":"Abstract:Using arithmetic jet spaces we attach perfectoid spaces to smooth schemes and we attach morphisms of perfectoidspaces to $\\\\delta$-morphisms of smooth schemes. We also study perfectoid spaces attached to arithmetic differential equations defined by some of the remarkable $\\\\delta$-morphisms appearing in the theory such as the $\\\\delta$-charactersof elliptic curves and the $\\\\delta$-period maps on modular curves.","PeriodicalId":7453,"journal":{"name":"American Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2019-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1353/ajm.2023.0006","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract:Using arithmetic jet spaces we attach perfectoid spaces to smooth schemes and we attach morphisms of perfectoidspaces to $\\delta$-morphisms of smooth schemes. We also study perfectoid spaces attached to arithmetic differential equations defined by some of the remarkable $\\delta$-morphisms appearing in the theory such as the $\\delta$-charactersof elliptic curves and the $\\delta$-period maps on modular curves.
期刊介绍：
The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.
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