Weil-Ch\^atelet divisible elements in Tate-Shafarevich groups II: On a question of Cassels
Number Theory
2013-08-22 v1
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.
Keywords
Cite
@article{arxiv.1308.4528,
title = {Weil-Ch\^atelet divisible elements in Tate-Shafarevich groups II: On a question of Cassels},
author = {Mirela Çiperiani and Jakob Stix},
journal= {arXiv preprint arXiv:1308.4528},
year = {2013}
}
Comments
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 f\"ur die Reine und Angewandte Mathematik