$2$-adic slopes of Hilbert modular forms over $\mathbb{Q}(\sqrt{5})$

Abstract

We show that for arithmetic weights with a fixed finite order character, the slopes of $U_p$ (for $p=2$) acting on overconvergent Hilbert modular forms of level $U_0(4)$ are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight $3$.

arXiv commentFinal version of the note. To appear in Bull. London Math. Soc

References in corpus (2)

• The eigencurve over the boundary of weight space
• The Jacquet-Langlands correspondence for overconvergent Hilbert modular forms