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arXiv · 1106.4255

Weil-Châtelet divisible elements in Tate-Shafarevich groups I: The Bashmakov problem for elliptic curves over Q

Mirela Çiperiani·Jakob Stix
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Abstract

For an abelian variety A over a number field k we discuss the maximal divisibile subgroup of H^1(k,A) and its intersection with the subgroup Sha(A/k). The results are most complete for elliptic curves over Q.

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Mirela Çiperiani, Jakob Stix. 2013-08-21. Weil-Châtelet divisible elements in Tate-Shafarevich groups I: The Bashmakov problem for elliptic curves over Q. https://doi.org/10.1112/s0010437x12000747

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