Reductions of certain 3-dimensional crystalline representations

2021/07/23 by Tong Liu, Liu, Tong
Mathematics · #11F80 #11F85 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Materials science #Number Theory (math.NT) #math.NT #msc:11F80 #msc:11F85

paper · pdf · doi:10.48550/arxiv.2107.11009

23 pages

arxiv created 2021/07/23 · openalex publication_date 2021/07/23 · arxiv updated 2021/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute reduction ρ of 3-dimensional irreducible crystalline representations ρ of G_{\mathbb Qp} with Hodge-Tate weights \0, r , s\ satisfying 2 ≤ r ≤ p-2, 2+p ≤ s ≤ r + p-2. If ρ is irreducible then we show that the generic fiber of crystalline universal deformation ring of ρ is connected.

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