{"title":"Kuga-Satake Abelian Varieties and l-ADIC Representations","authors":"S. G. Tankeev","doi":"10.1070/IM1992V039N01ABEH002229","DOIUrl":null,"url":null,"abstract":"Let be a Kuga-Satake abelian variety defined over a number field . Assuming a certain arithmetic condition on the canonical field associated to , we prove the Mumford-Tate conjecture concerning the Lie algebra of the image of the -adic representation in the one-dimensional cohomology of .","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"03 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V039N01ABEH002229","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Let be a Kuga-Satake abelian variety defined over a number field . Assuming a certain arithmetic condition on the canonical field associated to , we prove the Mumford-Tate conjecture concerning the Lie algebra of the image of the -adic representation in the one-dimensional cohomology of .
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