Irreducibility of the Igusa tower

Hida, Haruzo
January 2009
Acta Mathematica Sinica;Jan2009, Vol. 25 Issue 1, p1
Academic Journal
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.


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