{"title":"A geometrization of Stanley–Reisner theory","authors":"Fernando Sancho de Salas, Alejandro Torres Sancho","doi":"10.1016/j.jpaa.2024.107743","DOIUrl":null,"url":null,"abstract":"<div><p>We give a geometric interpretation of the Stanley–Reisner correspondence, extend it to schemes, and interpret it in terms of the field of one element.</p></div>","PeriodicalId":54770,"journal":{"name":"Journal of Pure and Applied Algebra","volume":"228 12","pages":"Article 107743"},"PeriodicalIF":0.7000,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Pure and Applied Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022404924001403","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We give a geometric interpretation of the Stanley–Reisner correspondence, extend it to schemes, and interpret it in terms of the field of one element.
期刊介绍:
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.