Weil-Châtelet divisible elements in Tate-Shafarevich groups I: The Bashmakov problem for elliptic curves over Q
arXiv:1106.4255 · doi:10.1112/S0010437X12000747
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.
22 pages, changed title, the origional manuscript arXiv:1106.4255v1 was split in two parts according to Div-questions (part I) and div-questions (part II: Weil-Châtelet divisible elements in Tate-Shafarevich groups II: On a question of Cassels)
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