On genus one curves violating the local-global principle
Number Theory
2022-03-03 v2
Abstract
For any number field not containing we give an explicit construction to prove that there exists an elliptic curve defined over this field such that its Shafarevich-Tate group is nontrivial.
Cite
@article{arxiv.2112.02470,
title = {On genus one curves violating the local-global principle},
author = {Han Wu},
journal= {arXiv preprint arXiv:2112.02470},
year = {2022}
}