Regular models of modular curves in prime level over \mathbb Z_p^ur

2022/11/03 by Bas Edixhoven, Edixhoven, Bas, Pierre Parent +1
Mathematics · #11G18 (primary) #11G20 #14G35 (secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2211.01690

openalex publication_date 2022/11/03 · openalex created_date 2022/11/09 · openalex updated_date 2026/07/28

Abstract

We give regular models for modular curves associated with (normalizer of) split and non-split Cartan subgroups of GL₂ (\mathbb F_p ) (for p any prime, p≥ 5). We then compute the group of connected components of the fiber at p of the Néron model of their Jacobians.

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