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.
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页码：51 / 88
页数：38
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