Weil-Châtelet divisible elements in Tate-Shafarevich groups II: On a question of Cassels
arXiv:1308.4528 · doi:10.1112/S0010437X12000747
Abstract
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.
25 pages, this is part II of the original manuscript arXiv:1106.4255v1 that was split in two parts. Part I is now arXiv:1106.4255v2. To appear in: Journal für die Reine und Angewandte Mathematik
References in corpus (4)
- Elliptic curves with maximal Galois action on their torsion points
- Galois sections for abelianized fundamental groups
- Weil-Châtelet divisible elements in Tate-Shafarevich groups II: On a question of Cassels
- Weil-Châtelet divisible elements in Tate-Shafarevich groups I: The Bashmakov problem for elliptic curves over Q