Arbitrarily large 2-torsion in Tate-Shafarevich groups of Abelian varieties

We show that, for any d, the 2-torsion of Tate-Shafarevich groups of absolutely simple abelian varieties of dimension d over Q can be arbitrarily large. This involves the use of an approach, which we shall describe, for demonstrating arbitrarily large Tate-Shafarevich groups which does not req...

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Autore principale: Flynn, E
Natura: Journal article
Pubblicazione: Polskiej Akademii Nauk 2019