Tate twists of Hodge structures arising from abelian varieties of type IV

被引：3

作者：

Abdulali, Salman ^{[1
]}

机构：

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

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2012年 / 216卷 / 05期

关键词：

AUTOMORPHIC FUNCTIONS; WEIL CLASSES; CONJECTURE;

D O I：

10.1016/j.jpaa.2011.10.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that certain abelian varieties A have the property that for every Hodge structure V in the cohomology of A, every effective Tate twist of V occurs in the cohomology of some abelian variety. We deduce the general Hodge conjecture for certain non-simple abelian varieties of type IV. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1164 / 1170

页数：7

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