Classicality of overconvergent Hilbert eigenforms: Case of quadratic residue degree

2011/04/23 by Yichao Tian, Tian, Yichao
Computer Science · Mathematics · #11F33 #11F46 #14J15 #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #Analytic and geometric function theory #FOS: Mathematics #Matrix Theory and Algorithms #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1104.4583

openalex publication_date 2011/04/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Let F be a quadratic real field, p be a rational prime inert in F. In this paper, we prove that an overconvergent p-adic Hilbert eigenform for F of small slope is actually a classical Hilbert modular form.

Citations

• Higher-level canonical subgroups for p-divisible groups

Related

• p-adic Cohomology and classicality of overconvergent Hilbert modular forms
• Eigenvariety for partially classical Hilbert modular forms
• Les Variétés de Hecke-Hilbert aux points classiques de poids 1
• Classicité de formes modulaires de Hilbert
• Slopes of overconvergent 2-adic modular forms