2022/05/11 by Alexander Bertoloni Meli, Sug Woo Shin, Meli, Alexander Bertoloni +1
Mathematics · Physics and Astronomy · #11F72 #11G15 #11G18 (Primary) #14G35 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2205.05462
openalex publication_date 2022/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Assuming the trace formula for Igusa varieties in characteristic p, which is known by Mack-Crane in the case of Hodge type with good reduction at p, we stabilize the formula via Kaletha's theory of rigid inner twists when the reductive group in the underlying Shimura datum is quasi-split at p. This generalizes our earlier work under more restrictive hypotheses.