Obstructions to weak approximation for reductive groups over $p$-adic function fields
Number Theory
2019-10-18 v2 Algebraic Geometry
Abstract
We establish arithmetic duality theorems for short complexes associated to reductive groups over -adic function fields. Using dualities, we deduce obstructions to weak approximation for certain reductive groups (especially quasi-split ones) and relate this obstruction to an unramified Galois cohomology group.
Cite
@article{arxiv.1904.05225,
title = {Obstructions to weak approximation for reductive groups over $p$-adic function fields},
author = {Yisheng Tian},
journal= {arXiv preprint arXiv:1904.05225},
year = {2019}
}