A Comparison of Cohomological Obstructions to the Hasse Principle and to Weak Approximation
Number Theory
2022-11-08 v1 Algebraic Geometry
Abstract
We show that certain Tate--Shafarevich groups are unramified which enables us to give an obstruction to the Hasse principle for torsors under tori over p-adic function fields.
Keywords
Cite
@article{arxiv.2211.02850,
title = {A Comparison of Cohomological Obstructions to the Hasse Principle and to Weak Approximation},
author = {Yisheng Tian},
journal= {arXiv preprint arXiv:2211.02850},
year = {2022}
}