Locally trivial torsors that are not Weil-Ch\^atelet divisible
Number Theory
2015-12-18 v2
Abstract
For every prime p we give infinitely many examples of torsors under abelian varieties over Q that are locally trivial but not divisible by p in the Weil-Ch\^atelet group. We also give an example of a locally trivial torsor under an elliptic curve over Q which is not divisible by 4 in the Weil-Ch\^atelet group. This gives a negative answer to a question of Cassels.
Keywords
Cite
@article{arxiv.1206.2420,
title = {Locally trivial torsors that are not Weil-Ch\^atelet divisible},
author = {Brendan Creutz},
journal= {arXiv preprint arXiv:1206.2420},
year = {2015}
}
Comments
v2: updated/corrected bibliography