Shimura varieties with $\Gamma_1(p)$-level via Hecke algebra isomorphisms: the Drinfeld case
Algebraic Geometry
2011-04-11 v4 Number Theory
Representation Theory
Abstract
We study the local factor at p of the semi-simple zeta function of a Shimura variety of Drinfeld type for a level structure given at p by the pro-unipotent radical of an Iwahori subgroup. Our method is an adaptation to this case of the Langlands-Kottwitz counting method. We use Hecke algebra isomorphisms to determine the test functions at p.
Keywords
Cite
@article{arxiv.1005.2558,
title = {Shimura varieties with $\Gamma_1(p)$-level via Hecke algebra isomorphisms: the Drinfeld case},
author = {T. Haines and M. Rapoport},
journal= {arXiv preprint arXiv:1005.2558},
year = {2011}
}
Comments
71 pages, 1 figure. Some LaTex glitches corrected. Remark 10.2.2 revised to account for a correction in the companion paper [H10]