Classicit\'e de formes modulaires de Hilbert

TL;DR

This paper proves a classicality theorem for overconvergent Hilbert modular forms using analytic continuation, extending previous methods without requiring ramification assumptions.

Contribution

It introduces a ramification-free proof of classicality for overconvergent Hilbert modular forms employing the analytic continuation approach.

Findings

Established classicality of overconvergent Hilbert modular forms without ramification

Extended analytic continuation methods to a broader class of forms

Provided a new proof technique for classicality results

Abstract

We prove in this paper a classicality result for overconvergent Hilbert modular forms. To get this result, we use the analytic continuation method, first used by Buzzard and Kassaei. We prove this result without any ramification assumption.