On properness of the eigencurve

2013/09/03 by Hansheng Diao, Diao, Hansheng, Ruochuan Liu +1
Mathematics · #11F #Analytic and geometric function theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Number Theory (math.NT) #math.NT #msc:11F

paper · pdf · doi:10.48550/arxiv.1309.0577

15 pages

arxiv created 2013/09/03 · openalex publication_date 2013/09/03 · arxiv updated 2013/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Coleman-Mazur eigencurve is proper (over the weight space) at a large class of points.

Related

• The eigencurve is proper at integral weights
• The 2-adic Eigencurve is Proper
• A modular proof of the properness of the Coleman-Mazur eigencurve
• Irreducible components of the eigencurve of finite degree are finite over the weight space
• Construction of eigenvarieties