{"title":"A note on Tate’s conjectures for abelian\nvarieties","authors":"Chao Li, Wei Zhang","doi":"10.2140/ent.2022.1.41","DOIUrl":null,"url":null,"abstract":". In this mostly expository note, we explain a proof of Tate’s two conjectures [Tat65] for algebraic cycles of arbitrary codimension on certain products of elliptic curves and abelian surfaces over number fields.","PeriodicalId":338657,"journal":{"name":"Essential Number Theory","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Essential Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/ent.2022.1.41","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
. In this mostly expository note, we explain a proof of Tate’s two conjectures [Tat65] for algebraic cycles of arbitrary codimension on certain products of elliptic curves and abelian surfaces over number fields.