Arbitrarily large Tate–Shafarevich group on Abelian surfaces

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.

Bibliographic Details
Main Author: Flynn, E
Format: Journal article
Published: Elsevier 2017