二面体权1形式的Hecke代数的推导

Pub Date : 2022-07-04 DOI:10.1307/mmj/20217221

M. Harris, V. Rotger, Akshay Venkatesh

{"title":"二面体权1形式的Hecke代数的推导","authors":"M. Harris, V. Rotger, Akshay Venkatesh","doi":"10.1307/mmj/20217221","DOIUrl":null,"url":null,"abstract":"We study the action of the derived Hecke algebra in the setting of dihedral weight one forms and prove a conjecture of the secondand fourthnamed authors relating this action to certain Stark units associated to the symmetric square L-function. The proof exploits the theta correspondence between various Hecke modules as well as the ideas of Merel and Lecouturier on higher Eisenstein elements.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"The Derived Hecke Algebra for Dihedral Weight One Forms\",\"authors\":\"M. Harris, V. Rotger, Akshay Venkatesh\",\"doi\":\"10.1307/mmj/20217221\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the action of the derived Hecke algebra in the setting of dihedral weight one forms and prove a conjecture of the secondand fourthnamed authors relating this action to certain Stark units associated to the symmetric square L-function. The proof exploits the theta correspondence between various Hecke modules as well as the ideas of Merel and Lecouturier on higher Eisenstein elements.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1307/mmj/20217221\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1307/mmj/20217221","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 9

摘要

我们研究了在二面体权一形式下所导出的Hecke代数的作用，并证明了第二及第四作者关于这种作用与对称方形l函数相关的某些Stark单位的一个猜想。该证明利用了赫克各模之间的θ对应关系以及Merel和Lecouturier关于更高爱森斯坦元素的想法。

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

The Derived Hecke Algebra for Dihedral Weight One Forms

We study the action of the derived Hecke algebra in the setting of dihedral weight one forms and prove a conjecture of the secondand fourthnamed authors relating this action to certain Stark units associated to the symmetric square L-function. The proof exploits the theta correspondence between various Hecke modules as well as the ideas of Merel and Lecouturier on higher Eisenstein elements.

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