Irreducibility of the Igusa tower

DOI10.1007/s10114-008-6490-zzbMath1235.11055OpenAlexW2102576531MaRDI QIDQ1034212

Haruzo Hida

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6490-z

zbMATH Keywords

Igusa towerShimura variety\(p\)-adic monodromy

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18) Varieties over finite and local fields (11G25)

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Cites Work

• Automorphism groups of Shimura varieties
• Monodromy of Hecke-invariant subvarieties
• On analytic families of polarized abelian varieties and automorphic functions
• Good reduction of abelian varieties
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Kroneckerian Model of Fields of Elliptic Modular Functions
• Ordinariness in good reductions of shimura varieties of PEL-type
• Automorphism Groups of Shimura Varieties and Reciprocity Laws
• Points on Some Shimura Varieties Over Finite Fields
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