梅西产品和椭圆曲线

IF 1.5 1区数学 Q1 MATHEMATICS

Proceedings of the London Mathematical Society Pub Date : 2022-05-27 DOI:10.1112/plms.12541

F. Bleher, T. Chinburg, J. Gillibert

{"title":"梅西产品和椭圆曲线","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":"{\"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}","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

摘要

研究了在系数为Z/ r $\mathbb {Z}/\ell$的域上绝对不可约光滑投影曲线的至少3阶Massey积的消失性。我们主要关注椭圆曲线，得到了三重Massey积不消失时的完整表征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Massey products and elliptic curves

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of the London Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

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.