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A Local-Global Study of Obstructed Deformation Problems -- I

2024/04/01 by Bartu Bingol, Bingol, Bartu
Engineering · #Advanced Numerical Methods in Computational Mathematics #Elasticity and Material Modeling #FOS: Mathematics #Number Theory (math.NT) #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.2404.01414

openalex publication_date 2024/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study obstructed deformation problems for two-dimensional residual Galois representations arising from weight~2 newforms of level~N. Using Poitou-Tate duality, we isolate local and global sources of obstructions and give concrete criteria for when they occur. In several cases we also describe the resulting universal deformation ring explicitly.

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