A dimension formula of closed affine Deligne-Lusztig varieties of parahoric level

2024/06/25 by Arghya Sadhukhan, Sadhukhan, Arghya
Mathematics · #20F55 (Secondary) #20G25 (Primary) 11G25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2406.17765

openalex publication_date 2024/06/25 · openalex created_date 2024/06/27 · openalex updated_date 2026/07/28

Abstract

We establish a dimension formula for certain union X^G(μ,b)_J of affine Deligne-Lusztig varieties associated to arbitrary parahoric level structures of split reductive groups, under certain genericity hypotheses.

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