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Weil–Châtelet divisible elements in Tate–Shafarevich groups I: The Bashmakov problem for elliptic curves over
$ \mathbb{Q} $
Published online by Cambridge University Press: 26 February 2013
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} $.
MSC classification
- Type
- Research Article
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- Copyright
- © The Author(s) 2013
References
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