On Teitelbaum type L-invariants of Hilbert modular forms attached to definite quaternions

被引：3

作者：

Chida, Masataka ^{[1
]}

Mok, Chung Pang ^{[2
]}

Park, Jeehoon ^{[3
]}

机构：

[1] Kyoto Univ, Grad Sch Sci, Dept Math, Kyoto 6068502, Japan

[2] Chinese Acad Sci, Morningside Ctr Math, Beijing 100190, Peoples R China

[3] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, Gyeongbuk, South Korea

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 147卷

基金：

新加坡国家研究基金会; 日本学术振兴会;

关键词：

Quaternion algebras; Hilbert modular forms; Coleman integrals; ADIC L-FUNCTIONS; HODGE THEORY; VALUES;

D O I：

10.1016/j.jnt.2014.08.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize Teitelbaum's work on the definition of the L-invariant to Hilbert modular forms that arise from definite quaternion algebras over totally real fields by the Jacquet-Langlands correspondence. Conjecturally this coincides with the Fontaine-Mazur type L-invariant, defined by applying Fontaine's theory to the Galois representation associated to Hilbert modular forms. An exceptional zero conjecture for the p-adic L-function of Hilbert modular forms is also proposed. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：633 / 665

页数：33

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