TATE-SHAFAREVICH GROUPS OVER THE COMMUTATIVE DIAGRAM OF 8 ABELIAN VARIETIES

被引：0

作者：

Yu, Hoseog ^{[1
]}

机构：

[1] Sejong Univ, Dept Math & Stat, Seoul 05006, South Korea

来源：

HONAM MATHEMATICAL JOURNAL | 2023年 / 45卷 / 03期

关键词：

words and phrases. abelian variety; Tate-Shafarevich group;

D O I：

10.5831/HMJ.2023.45.3.410

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that there are 8 abelian varieties defined over a number field K which satisfy a commutative diagram. We show that if we know that three out of four short exact sequences satisfy the rate formula of Tate-Shafarevich groups, then the unknown short exact sequence satisfies the rate formula of Tate-Shafarevich groups, too.

引用

页码：410 / 417

页数：8

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