Hilbert Modular Varieties

  • Haruzo Hida
Part of the Springer Monographs in Mathematics book series (SMM)


We present here a general theory of the Hilbert modular varieties together with a sketch of a proof of the geometric reciprocity laws and the vertical control theorems, assuming some of the results which are proven for more general reductive groups G in later chapters.


Modular Form Irreducible Component Abelian Variety Open Compact Subgroup Shimura Variety 
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Copyright information

© Springer-Verlag New York, LLC 2004

Authors and Affiliations

  • Haruzo Hida
    • 1
  1. 1.Mathematics DepartmentUCLALos AngelesUSA

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