{"title":"Massey products and elliptic curves","authors":"F. Bleher, T. Chinburg, J. Gillibert","doi":"10.1112/plms.12541","DOIUrl":null,"url":null,"abstract":"We study the vanishing of Massey products of order at least 3 for absolutely irreducible smooth projective curves over a field with coefficients in Z/ℓ$\\mathbb {Z}/\\ell$ . We mainly focus on elliptic curves, for which we obtain a complete characterization of when triple Massey products do not vanish.","PeriodicalId":49667,"journal":{"name":"Proceedings of the London Mathematical Society","volume":" ","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the London Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1112/plms.12541","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: 0
Abstract
We study the vanishing of Massey products of order at least 3 for absolutely irreducible smooth projective curves over a field with coefficients in Z/ℓ$\mathbb {Z}/\ell$ . We mainly focus on elliptic curves, for which we obtain a complete characterization of when triple Massey products do not vanish.
期刊介绍：
The Proceedings of the London Mathematical Society is the flagship journal of the LMS. It publishes articles of the highest quality and significance across a broad range of mathematics. There are no page length restrictions for submitted papers.
The Proceedings has its own Editorial Board separate from that of the Journal, Bulletin and Transactions of the LMS.
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