Acta Mathematica Sinica, English Series

, Volume 25, Issue 1, pp 1–20

Irreducibility of the Igusa tower

Article

DOI: 10.1007/s10114-008-6490-z

Cite this article as:
Hida, H. Acta. Math. Sin.-English Ser. (2009) 25: 1. doi:10.1007/s10114-008-6490-z

Abstract

We shall give a simple (basically) purely in characteristic p proof of the irreducibility of the Igusa tower over Shimura varieties of PEL type. Our result covers Shimura variety of type A and type C classical groups, in particular, the Siegel modular varieties, the Hilbert-Siegel modular varieties, Picard surfaces and Shimura varieties of inner forms of unitary and symplectic groups over totally real fields.

Keywords

Shimura variety Igusa tower p-adic monodromy 

MR(2000) Subject Classification

11G15 11G18 11G25 

Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH 2009

Authors and Affiliations

  1. 1.Department of MathematicsUCLALos AngelesUSA