Half twists of Hodge structures of CM-type

被引：16

作者：

van Geemen, B ^{[1
]}

机构：

[1] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2001年 / 53卷 / 04期

关键词：

Hodge structure; Kuga-Satake variety; Clifford algebra;

D O I：

10.2969/jmsj/05340813

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To a Hodge structure V of weight k with CM by a field K we associate Hodge structures V-n/2 of weight k + n for n positive and, under certain circumstances, also for n negative. We show that these 'half twists' come up naturally in the Kuga-Satake varieties of weight two Hodge structures with CM by an imaginary quadratic field.

引用

页码：813 / 833

页数：21

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