On the images of modular and geometric three-dimensional Galois represetations

2001/11/05 by Luis Dieulefait, Luís Dieulefait, Dieulefait, Luis +3
Computer Science · Engineering · Mathematics · #11F80 #11G35 #11R32 #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Topological and Geometric Data Analysis #math.NT #msc:11F80 #msc:11G35 #msc:11R32

paper · pdf · doi:10.48550/arxiv.math/0111043

arxiv created 2001/11/05 · openalex publication_date 2001/11/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We address the problem of the determination of the images of three-dimensional geometric and modular Galois representations. In the modular case the existence of these representations is only conjectural. We give conditions to ensure that the images are as large as possible for almost every prime. We compute some examples and stress the applications to inverse Galois theory.

Citations

• Galois representations associated to Siegel modular forms of low weight

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