# L-invariants for Hilbert modular forms

## TL;DR

This paper proves that, under certain conditions, the Fontaine--Mazur and Teitelbaum type L-invariants for Hilbert eigenforms are equal, confirming a conjecture by Chida, Mok, and Park.

## Contribution

It establishes the equality of two different L-invariants for Hilbert eigenforms under specific conditions, confirming a conjecture in the field.

## Key findings

- Proved the equality of Fontaine--Mazur and Teitelbaum L-invariants for Hilbert eigenforms.
- Confirmed a conjecture of Chida, Mok, and Park.
- Provided conditions under which the invariants coincide.

## Abstract

In this paper we show that under certain condition the Fontaine--Mazur $L$-invariant for a Hilbert eigenform coincides with its Teitelbaum type $L$-invariant, and thus prove a conjecture of Chida, Mok and Park.