On critical values of L-functions of potentially automorphic motives

被引：0

作者：

Barrera Salazar, Daniel ^{[1
]}

Guerberoff, Lucio ^{[2
]}

机构：

[1] Univ Politecn Cataluna, Dept Matemat, Planta 3,330 Campus Nord,Edificio Omega, ES-08034 Barcelona, Spain

[2] UCL, Dept Math, 25 Gordon St, London WC1H 0AY, England

来源：

MANUSCRIPTA MATHEMATICA | 2017年 / 153卷 / 3-4期

关键词：

HILBERT MODULAR-FORMS; ZETA-FUNCTIONS; GALOIS REPRESENTATIONS; SHIMURA VARIETIES; PERIODS;

D O I：

10.1007/s00229-016-0900-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove a version of Deligne's conjecture for potentially automorphic motives, twisted by certain algebraic Hecke characters. The Hecke characters are chosen in such a way that we can use automorphic methods in the context of totally definite unitary groups.

引用

页码：341 / 371

页数：31

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