Property tau in positive characteristic

2022/02/07 by Amir Mohammadi, Mohammadi, Amir, Nattalie Tamam +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2202.03470

openalex publication_date 2022/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a quantitative equidistribution statement for certain adelic homogeneous subsets in positive characteristic. As an application, we describe a proof of property tau for arithmetic groups in this context.

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• Effective equidistribution and property tau
• Equidistribution theorem over an adelic curve
• An effective Deligne's equidistribution theorem
• Characteristic classes as obstructions to local homogeneity
• Équidistribution et différentiabilité