{"title":"Homothéties explicites des représentations ℓ-adiques","authors":"Aurélien Galateau, César Martínez","doi":"10.5802/jtnb.1257","DOIUrl":null,"url":null,"abstract":"This article presents and specifies the main known results on the size of the subgroup of homotheties of ℓ-adic representations associated with the torsion of an abelian variety. Such estimates notably make it possible to give explicit uniform bounds in the framework of the Manin–Mumford problem.","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":"17 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal De Theorie Des Nombres De Bordeaux","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/jtnb.1257","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
This article presents and specifies the main known results on the size of the subgroup of homotheties of ℓ-adic representations associated with the torsion of an abelian variety. Such estimates notably make it possible to give explicit uniform bounds in the framework of the Manin–Mumford problem.
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