Regular filtered (phi,N)-modules of dimension 3

2012/11/14 by Chol Park, Park, Chol
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Combinatorics #Dimension (graph theory) #Discrete mathematics #Galois group #Galois module #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Isomorphism (crystallography) #Mathematics #Physics #Pure mathematics #Type (biology) #math.NT #msc:11F80

paper · pdf · doi:10.48550/arxiv.1211.3429

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2012/11/14 · arxiv created 2012/12/01 · arxiv updated 2012/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

Abstract

We classify 3-dimensional semi-stable representations of the Galois group of Q_p with coefficients and regular Hodge--Tate weights, by determining the isomorphism classes of admissible filtered (phi,N)-modules of Hodge type (0,r,s) with 0 < r < s.

Citations

• Modular Elliptic Curves and Fermat's Last Theorem

Related

• Rank 3 filtered (φ,N)-modules
• Reduction modulo p of certain semi-stable representations
• Rank two filtered (ϕ, N)-modules with Galois descent data and coefficients
• Lattices in potentially semi-stable representations and weak (φ,G)-modules
• Reductions of Some Crystalline Representations in the Unramified Setting