Hodge Structures Associated to SU(p, 1)

被引：0

作者：

Abdulali, Salman ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN ALGEBRA | 2015年 / 43卷 / 10期

关键词：

Abelian variety; Hodge structure; Kuga fiber variety; Tate twist; 14C30; 14K20; ABELIAN-VARIETIES; AUTOMORPHIC FUNCTIONS; CONJECTURE; IV;

D O I：

10.1080/00927872.2014.940526

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be an abelian variety over C such that the semisimple part of the Hodge group of A is a product of copies of SU(p, 1) for some p>1. We show that any effective Tate twist of a Hodge structure occurring in the cohomology of A is isomorphic to a Hodge structure in the cohomology of some abelian variety.

引用

页码：4209 / 4220

页数：12

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