Arithmetic and Geometry Around Hypergeometric Functions

, by Holzapfel, Rolf-Peter; Uludag, A. Muhammed; Yoshida, Masaaki

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ISBN: 9783764382834 | 376438283X
Cover: Hardcover
Copyright: 3/1/2007

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This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functions held at Galatasaray University, Istanbul during June 13-25, 2005. A wide range of topics related to hypergeometric functions is covered, thus giving a broad perspective of the state of the art in the field.

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Hyperbolic geometry and the moduli space of real binary sextics	p. 1
Gauss' hypergeometric function	p. 23
Moduli of K3 surfaces and complex ball quotients	p. 43
Macbeaths infinite series of Hurwitz groups	p. 101
Relative proportionality on Picard and Hilbert modular surfaces	p. 109
Hypergeometric functions and Carlitz differential equations over function fields	p. 163
The moduli space of 5 points on P[superscript 1] and K3 surfaces	p. 189
Uniformization by Lauricella functions - an overview of the theory of Deligne-Mostow	p. 207
Invariant functions with respect to the Whitehead-link	p. 245
On the construction of class fields by Picard modular forms	p. 273
Algebraic values of Schwarz triangle functions	p. 287
GKZ hypergeometric structures	p. 313
Orbifolds and their uniformization	p. 373
From the power function to the hypergeometric function	p. 407
Problem session	p. 431
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Arithmetic and Geometry Around Hypergeometric Functions

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