2022/06/27 by Sebastian Bartling, Bartling, Sebastian
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2206.13194
openalex publication_date 2022/06/27 · openalex created_date 2022/06/30 · openalex updated_date 2026/07/28
Two approaches to the construction of integral models of local Shimura-varieties are compared: that of Bültel-Pappas using G-μ-displays and that of Scholze using local mixed-characteristic shtuka. As an application, the representability of the diamond of the generic fiber of the Bültel-Pappas moduli problem is verified and a local representability conjecture of Rapoport-Pappas is proven. The methods apply to all unramified local Shimura-data under a certain condition on slopes and if p≠ 2; thus in particular also to exceptional groups.