{"title":"无限扩展数域上阿贝尔变型的扭转与自同态","authors":"Yu. G. Zarkhin","doi":"10.1070/IM1992V038N03ABEH002219","DOIUrl":null,"url":null,"abstract":"The author studies abelian varieties with infinite torsion in infinite extensions L of a number field K for which the Galois group Gal(L/K) is a compact l-adic Lie group.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"TORSION AND ENDOMORPHISMS OF ABELIAN VARIETIES OVER INFINITE EXTENSIONS OF NUMBER FIELDS\",\"authors\":\"Yu. G. Zarkhin\",\"doi\":\"10.1070/IM1992V038N03ABEH002219\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The author studies abelian varieties with infinite torsion in infinite extensions L of a number field K for which the Galois group Gal(L/K) is a compact l-adic Lie group.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1992V038N03ABEH002219\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V038N03ABEH002219","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
TORSION AND ENDOMORPHISMS OF ABELIAN VARIETIES OVER INFINITE EXTENSIONS OF NUMBER FIELDS
The author studies abelian varieties with infinite torsion in infinite extensions L of a number field K for which the Galois group Gal(L/K) is a compact l-adic Lie group.