Tate-Shafarevich 群中的 Weil-Châtelet 可除元素 II：关于 Cassels 的一个问题
数论
2013-08-22 v1
摘要
对于数域 k 上的阿贝尔簇 A，我们讨论了子群 Sha(A/k) 中元素在 H^1(k,A) 中的可除性。对于 Q 上的椭圆曲线，结果最为完整。
引用
@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}
}
备注
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