Arbitrarily large p-torsion in Tate-Shafarevich groups
We show that, for any prime p, there exist absolutely simple abelian varieties over Q with arbitrarily large p-torsion in their Tate-Shafarevich groups. To prove this, we construct explicit µp-covers of Jacobians of curves of the form y p = x(x − 1)(x − a) which violate the Hasse principle. In the a...
| প্রধান লেখক: | , , |
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| বিন্যাস: | Journal article |
| ভাষা: | English |
| প্রকাশিত: |
Cambridge University Press
2024
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