On Weak Approximation of Reductive Groups over Higher Dimensional Function Fields

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.

Publication Details

Journal
ArXiv.org
Published
2025-08-13
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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article

On Weak Approximation of Reductive Groups over Higher Dimensional Function Fields

ArXiv.org
Algebraic Geometry and Number Theory
article

On Weak Approximation of Reductive Groups over Higher Dimensional Function Fields

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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.

ArXiv.org
Openalex Percentile: Top 43%
Algebraic Geometry and Number Theory
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On Weak Approximation of Reductive Groups over Higher Dimensional Function Fields · ArXiv.org (2025) | TGRS Research Map | TGRS