Shimura varieties with $Γ_1(p)$-level via Hecke algebra isomorphisms: the Drinfeld case

Details Shimura varieties with $Γ_1(p)$-level via Hecke algebra isomorphisms: the Drinfeld case Shimura varieties with $Γ_1(p)$-level via Hecke algebra isomorphisms: the Drinfeld case

2010-05-14

arxiv.org/abs/1005.2558v4

Mathematics

Algebraic Geometry

71 pages, 1 figure. Some LaTex glitches corrected. Remark 10.2.2 revised to account for a correction in the companion paper [H

Scientific paper

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.

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