On Arithmetic Toroidal Groups

被引：0

作者：

Umeno, Takashi ^{[1
]}

机构：

[1] Kyushu Sangyo Univ, Dept Math, Fukuoka 8138503, Japan

来源：

FILOMAT | 2017年 / 31卷 / 01期

关键词：

Quasi-abelian varieties; Toroidal groups; Algebraic number fields;

D O I：

10.2298/FIL1701103U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Andreotti, Gherardelli, and Abe constructed toroidal groups from algebraic number fields. We call these toroidal groups arithmetic toroidal groups. We study the algebraic structures of arithmetic toroidal groups and we show two examples of arithmetic toroidal groups where one is a quasi-Abelian variety and the other has no nonconstant meromorphic functions on it.

引用

页码：103 / 106

页数：4

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