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arxiv: 1308.4528 · v1 · pith:IHP27CHBnew · submitted 2013-08-21 · 🧮 math.NT

Weil-Ch\^atelet divisible elements in Tate-Shafarevich groups II: On a question of Cassels

classification 🧮 math.NT
keywords elementsabelianateletcasselscompletecurvesdiscussdivisibility
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For an abelian variety A over a number field k we discuss the divisibility in H^1(k,A) of elements of the subgroup Sha(A/k). The results are most complete for elliptic curves over Q.

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