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.
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页码：248 / 258
页数：11
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