Geometry of Variety

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


In this short chapter, we summarize geometric properties of a variety and a tower of varieties we need in the book. One reason for adding this chapter is to make the book logically complete, and another is to give the foundation of the theory of towers of varieties in the language of proschemes, since the Shimura variety is a tower of varieties fundamental to the number-theoretic study of automorphic forms. If the reader is familiar with the subject, he or she can take a brief look at the content of this chapter and go directly to Chap.6.


Projective System Automorphic Form Projective Limit Closed Scheme Coherent Sheaf 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Haruzo Hida
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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