Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C

被引：9

作者：

Johansson, Christian ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

MATHEMATISCHE ANNALEN | 2013年 / 357卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

HILBERT MODULAR VARIETIES; COHOMOLOGY; THEOREMS; FAMILIES; SHEAVES; SPACES;

D O I：

10.1007/s00208-013-0900-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the rigid cohomology of the ordinary locus in some compact PEL Shimura varieties of type C with values in automorphic local systems and use it to prove a small slope criterion for classicality of overconvergent Hecke eigenforms. This generalises work of Coleman, and is a first step in an ongoing project to extend the cohomological approach to classicality to higher-dimensional Shimura varieties.

引用

页码：51 / 88

页数：38