Arbitrarily large Tate-Shafarevich group on Abelian surfaces

被引：3

作者：

Flynn, E. V. ^{[1
]}

机构：

[1] Univ Oxford, Inst Math, 24-29 St Giles, Oxford OX1 3LB, England

来源：

JOURNAL OF NUMBER THEORY | 2018年 / 186卷

关键词：

Tate-Shafarevich Group; Abelian Surface; ELLIPTIC-CURVES;

D O I：

10.1016/j.jnt.2017.10.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We outline a method for demonstrating arbitrarily large Tate-Shafarevich groups which does not require explicit homogeneous spaces, and we show that the Tate-Shafarevich groups over Q of absolutely simple Abelian surfaces (in particular, their 2-torsion) can be arbitrarily large. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：248 / 258

页数：11

共 41 条

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