Abelian varieties of type III and the Hodge conjecture

被引：9

作者：

Abdulali, S ^{[1
]}

机构：

[1] E Carolina Univ, Dept Math, Greenville, NC 27858 USA

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 1999年 / 10卷 / 06期

关键词：

D O I：

10.1142/S0129167X99000264

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the algebraicity of Well's Hedge cycles implies the usual Hedge conjecture for a general member of a PEL-family of abelian varieties of type III. We deduce the general Hedge conjecture for certain 6-dimensional abelian varieties of type III, and the usual Hedge and Tate conjectures for certain 4-dimensional abelian varieties of type III.

引用

页码：667 / 675

页数：9

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