On CM-types of Galois CM-fields without proper CM-subfields

被引：3

作者：

Kida, Masanari ^{[1
]}

机构：

[1] Tokyo Univ Sci, Fac Sci, Div 1, Dept Math, 1-3 Kagurazaka, Tokyo 1628601, Japan

来源：

ANNALES MATHEMATIQUES DU QUEBEC | 2020年 / 44卷 / 01期

关键词：

Complex multiplication; CM-type; Hodge conjecture; CM-field;

D O I：

10.1007/s40316-018-00111-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that all CM-types of Galois CM-fields without proper CM-subfields are nondegenerate. As a consequence, the Hodge conjecture is true for abelian varieties with complex multiplication by such CM-fields.

引用

页码：165 / 171

页数：7

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