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Non-regular trianguline representations

2023/10/30 by Martina Fruttidoro, Fruttidoro, Martina
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2310.19499

openalex publication_date 2023/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Gp be the absolute Galois group of ℚp and let L be a finite extension of ℚp. Moreover let ρ:Gp→ GLn(kL) be a continous representation of Gp, where kL is the residue field of L and n is a natural number greater than 1. We find sufficient conditions for which a trianguline representation ρ:Gp→ GLn(L) lifting ρ is a point of the trianguline variety associated to ρ.

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