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… Click to show full abstract
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.
               
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