Irreducibility of the Igusa tower
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- Hida, H. Acta. Math. Sin.-English Ser. (2009) 25: 1. doi:10.1007/s10114-008-6490-z
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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.