Full Level Structure on Some Group Schemes

2020/08/27 by Chuangtian Guan, Guan, Chuangtian
Mathematics · #11G09 #14L15 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #math.AG #math.NT #msc:11G09 #msc:14L15

paper · pdf · doi:10.48550/arxiv.2008.12400

11 pages

openalex publication_date 2020/08/27 · arxiv created 2021/02/24 · arxiv updated 2021/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a definition of full level structure on group schemes of the form G× G, where G is a finite flat commutative group scheme of rank p over a ℤ_p-scheme S or, more generally, a truncated p-divisible group of height 1. We show that there is no natural notion of full level structure over the stack of all finite flat commutative group schemes.

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