{"title":"Non-isomorphic abelian varieties with the same arithmetic.","authors":"Jamie Bell","doi":"10.1098/rsos.250310","DOIUrl":null,"url":null,"abstract":"<p><p>We construct two abelian varieties over <math><mi>ℚ</mi></math> which are not isomorphic, but have isomorphic Mordell-Weil groups over every number field, isomorphic Tate modules and equal values for several other invariants.</p>","PeriodicalId":21525,"journal":{"name":"Royal Society Open Science","volume":"12 10","pages":"250310"},"PeriodicalIF":2.9000,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12483628/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Royal Society Open Science","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.1098/rsos.250310","RegionNum":3,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
We construct two abelian varieties over which are not isomorphic, but have isomorphic Mordell-Weil groups over every number field, isomorphic Tate modules and equal values for several other invariants.
期刊介绍:
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