$2$-adic slopes of Hilbert modular forms over $\mathbb{Q}(\sqrt{5})$
Number Theory
2020-07-01 v3
Abstract
We show that for arithmetic weights with a fixed finite order character, the slopes of (for ) acting on overconvergent Hilbert modular forms of level are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight .
Cite
@article{arxiv.1811.04799,
title = {$2$-adic slopes of Hilbert modular forms over $\mathbb{Q}(\sqrt{5})$},
author = {Christopher Birkbeck},
journal= {arXiv preprint arXiv:1811.04799},
year = {2020}
}
Comments
Final version of the note. To appear in Bull. London Math. Soc