Weil–Châtelet divisible elements in Tate–Shafarevich groups II: On a question of Cassels
نویسندگان
چکیده
For an abelian variety A over a number field k we discuss the divisibility in H(k,A) of elements of the subgroup X(A/k). The results are most complete for elliptic curves over Q.
منابع مشابه
Locally Trivial Torsors That Are Not Weil-châtelet Divisible
For every prime p we give infinitely many examples of torsors under abelian varieties over Q that are locally trivial but not divisible by p in the Weil-Châtelet group. We also give an example of a locally trivial torsor under an elliptic curve over Q which is not divisible by 4 in the Weil-Châtelet group. This gives a negative answer to a question of Cassels.
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تاریخ انتشار 2012