Arbitrarily large Tate–Shafarevich group on Abelian surfaces

Author: 

Flynn, E

Publication Date: 

16 November 2017

Journal: 

Journal of Number Theory

Last Updated: 

2020-01-22T01:53:17.893+00:00

Volume: 

186

DOI: 

10.1016/j.jnt.2017.10.004

page: 

148-258

abstract: 

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.

Symplectic id: 

745085

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article