On the weights of mod p Hilbert modular forms

2006/01/21 by Toby Gee, Gee, Toby · 1 citation
Mathematics · #11F33 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/0601516

openalex publication_date 2006/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove many cases of a conjecture of Buzzard, Diamond and Jarvis on the possible weights of mod p Hilbert modular forms, by making use of modularity lifting theorems and computations in p-adic Hodge theory.

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• A modularity lifting theorem for weight 2 Hilbert modular forms

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