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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| स्वरूप: | Journal article |
| प्रकाशित: |
Polskiej Akademii Nauk
2019
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| सारांश: | 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 require entire Selmer groups to be found. |
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