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arXiv · 2508.09601

On Weak Approximation of Reductive Groups over Higher Dimensional Function Fields

Zhongda Li·Che Liu·Haoxiang Pan
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Abstract

Let $k$ be a $d$-local field of characteristic 0, and let $K$ be the function field of a nice curve over $k$. We give a defect to weak approximation for reductive groups over $K$ using arithmetic dualities.

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Zhongda Li, Che Liu, Haoxiang Pan. 2025-08-13. On Weak Approximation of Reductive Groups over Higher Dimensional Function Fields. https://arxiv.org/abs/2508.09601

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