ON NONCRITICAL GALOIS REPRESENTATIONS

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2021-07-22 DOI:10.1017/S1474748021000268

Bingyong Xie

引用次数: 1

Abstract

Abstract We propose a conjecture that the Galois representation attached to every Hilbert modular form is noncritical and prove it under certain conditions. Under the same condition we prove Chida, Mok and Park’s conjecture that Fontaine-Mazur L-invariant and Teitelbaum-type L-invariant coincide with each other.

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关于非临界GALOIS表示

摘要我们提出了一个猜想，即附加在每个Hilbert模形式上的Galois表示是非临界的，并在一定条件下证明了它。在相同条件下，我们证明了Chida、Mok和Park关于Fontaine-Mazur L-不变量和Teitelbaum型L-不变量一致的猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.