Name: the ball and some hilbert problems
SKU: 3420959
Price: 53.70 EUR
Availability: InStock
Author: holzapfel

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portada the ball and some hilbert problems

Type

Physical Book

Publisher

Springer

Author

holzapfel

Language

English

ISBN

3764328355

ISBN13

9783764328351

Synopsis "the ball and some hilbert problems"

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, torellis theorem, picard modular forms, theta functions, class fields and transcen- dental values in an effective manner.