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Irreducibility of the Igusa tower

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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.

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Authors and Affiliations

  1. Department of Mathematics, UCLA, Los Angeles, CA, 90095-1555, USA

    Haruzo Hida

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  1. Haruzo Hida
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Correspondence to Haruzo Hida.

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The author is partially supported by the NSF grants: DMS 0244401, DMS 0456252 and DMS 0753991

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Hida, H. Irreducibility of the Igusa tower. Acta. Math. Sin.-English Ser. 25, 1–20 (2009). https://doi.org/10.1007/s10114-008-6490-z

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  • DOI: https://doi.org/10.1007/s10114-008-6490-z

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