On Weak Approximation of Reductive Groups over Higher Dimensional Function Fields
Number Theory
2025-09-05 v2 Algebraic Geometry
Abstract
Let be a -local field of characteristic 0, and let be the function field of a nice curve over . We give a defect to weak approximation for reductive groups over using arithmetic dualities.
Keywords
Cite
@article{arxiv.2508.09601,
title = {On Weak Approximation of Reductive Groups over Higher Dimensional Function Fields},
author = {Zhongda Li and Che Liu and Haoxiang Pan},
journal= {arXiv preprint arXiv:2508.09601},
year = {2025}
}