伴随希尔伯特模伽罗瓦表示的欧拉系统

IF 0.3 4区数学 Q4 MATHEMATICS

Journal De Theorie Des Nombres De Bordeaux Pub Date : 2021-02-11 DOI:10.5802/jtnb.1191

E. Urban

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引用次数: 1

摘要

利用希尔伯特模形式的伽罗瓦表示的变形，证明了伴随模伽罗瓦表示的欧拉系统的存在性，并将其与p进l函数联系起来，给出了一些等变同余模的拟合理想的猜想公式。

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On Euler systems for adjoint Hilbert modular Galois representations

We prove the existence of Euler systems for adjoint modular Galois representations using deformations of Galois representations coming from Hilbert modular forms and relate them to p-adic L-functions under a conjectural formula for the Fitting ideals of some equivariant congruence modules for abelian base change.

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来源期刊

Journal De Theorie Des Nombres De Bordeaux MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： The Journal de Théorie des Nombres de Bordeaux publishes original papers on number theory and related topics (not published elsewhere).