Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C
Number Theory
2013-01-22 v2
Abstract
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 the work of Coleman, and is a first step in an ongoing project to extend the cohomological approach to classicality to higher-dimensional Shimura varieties.
Keywords
Cite
@article{arxiv.1208.1034,
title = {Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C},
author = {Christian Johansson},
journal= {arXiv preprint arXiv:1208.1034},
year = {2013}
}
Comments
31 pages. Essentially final version. Hypothesis on p removed from previous version. Accepted, to appear in Math. Annalen