Correspondence of the Jacquet-Langlands p-adic forms

被引：56

作者：

Chenevier, G ^{[1
]}

机构：

[1] Ecole Normale Super, Dept Math & Applicat, F-75230 Paris 05, France

来源：

DUKE MATHEMATICAL JOURNAL | 2005年 / 126卷 / 01期

关键词：

D O I：

10.1215/S0012-7094-04-12615-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend the Jacquet-Langlands correspondence between Hecke-modules of usual modular forms and quaternionic modular forms to overconvergent p-adic forms of finite slope. We show that this correspondence respects p-adic families and is induced by an isomorphism between some associated eigencurves.

引用

页码：161 / 194

页数：34

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