On the Supersingular Locus of the GU(2,n-2) Shimura Variety

2024/10/07 by Ryosuke Shimada, Shimada, Ryosuke
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2410.05110

openalex publication_date 2024/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the supersingular locus of a reduction at an inert prime of the Shimura variety attached to GU(2,n-2). More concretely, we decompose the supersingular locus into a disjoint union of iterated fibrations over (classical) Deligne-Lusztig varieties after taking perfection.

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