Weil–Châtelet divisible elements in Tate–Shafarevich groups I: The Bashmakov problem for elliptic curves over $ \mathbb{Q} $. (May 2013) - Çiperiani, Mirela
Abstract For an abelian variety $A$ over a number field $k$ we discuss the maximal divisible subgroup of ${\mathrm{H} }^{1} (k, A)$ and its intersection with the subgroup Ш $(A/ k)$ . The results are most complete for elliptic curves over $ \mathbb{Q} $ .