{"title":"斯坦利-赖斯纳理论的几何化","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":"{\"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}","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}
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.
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