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The Ball and Some Hilbert Problems
 
 

The Ball and Some Hilbert Problems [Paperback]

Rolf-Peter Holzapfel


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Product Details

  • Paperback: 168 pages
  • Publisher: Birkhäuser Basel; 1 edition (Feb 4 2004)
  • Language: English
  • ISBN-10: 3764328355
  • ISBN-13: 978-3764328351
  • Product Dimensions: 23.8 x 16.8 x 1.2 cm
  • Shipping Weight: 322 g

Product Description

Product Description

The famous twelfth Hilbert problem calls for holomorphic functions in several variables with properties analogous to the exponential function and the elliptic modular function with a view to the explicit construction of (Hilbert) class fields by means of special values. The lecture notes present those functions living on the two-dimensional complex unit ball. In the course of their construction, the reader is introduced to work with complex multiplication, moduli fields, moduli space of curves, surface uniformizations, Gauss-Manin connection, Jacobian varieties, Torelli's theorem, Picard modular forms, Theta functions, class fields and transcen- dental values in an effective manner.

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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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