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The Ball and Some Hilbert Problems

The Ball and Some Hilbert Problems


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About the Book

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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Product Details
  • ISBN-13: 9783034890526
  • Publisher: Springer My Copy UK
  • Publisher Imprint: Springer My Copy UK
  • Height: 244 mm
  • Weight: 281 gr
  • ISBN-10: 3034890524
  • Publisher Date: 01 Dec 1994
  • Binding: Paperback
  • Spine Width: 9 mm
  • Width: 170 mm


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