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" Arithmetic and geometry around hypergeometric functions : "
Rolf-Peter Holzapfel, A. Muhammed Uludağ, Masaaki Yoshida, editors.
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BL
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| Record Number
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1018262
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b772632
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| Main Entry
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CIMPA Summer School(2005 :, Galatasary University, Istanbul)
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| Title & Author
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Arithmetic and geometry around hypergeometric functions : : lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005 /\ Rolf-Peter Holzapfel, A. Muhammed Uludağ, Masaaki Yoshida, editors.
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| Publication Statement
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Basel :: Birkhäuser,, ©2007.
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| Series Statement
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Progress in mathematics ;; v. 260
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1 online resource (viii, 437 pages) :: illustrations
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| ISBN
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376438283X
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: 3764382848
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: 9783764382834
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: 9783764382841
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| Notes
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Lectures.
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Hyperbolic geometry and the moduli space of real binary sextics / Daniel Allcock, James A. Carlson and Domingo Toledo -- Gauss' hypergeometric function / Frits Beukers -- Moduli of K3 surfaces and complex Ball quotiens / Igor V. Dolgachev and Shigeyuki Kondō -- Macbeaths infinite series of Hurwitz groups / Amir Džambić -- Relative proportionality on Picard and Hilbert modular surfaces / Rolf-Peter Holzapfel -- Hypergeometric functions and Carlitz differential equations / Anatoly N. Kochubei -- The moduli space of 5 points in P¹ and K3 surfaces / Shigeyuki Kondō -- Uniformization by Lauricella functions -- an overview of the theory of Deligne-Mostow / Eduard Looijenga -- Invariant functions with respect to the Whitehead-link / Keiji Matsumoto -- On the construction of class fields by Picard modular forms / Thorsten Riedel -- Algebraic values of Schwarz triangle functions / Hironori Shiga and Jürgen Wolfart -- GKZ hypergeometric structures / Jan Stienstra -- Orbifolds and their uniformization / A. Muhammed Uludağ -- From the power function to the hypergeometric function / Masaaki Yoshida -- Problem session / Celal Cem Sarıoğlu (ed.).
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| Abstract
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This volume comprises the Lecture Notes of the CIMPA Summer School "Arithmetic and Geometry around Hypergeometric Functions" held at Galatasaray University, Istanbul in 2005. It contains lecture notes, a survey article, research articles, and the results of a problem session. Key topics are moduli spaces of points on P1 and Picard-Terada-Deligne-Mostow theory, moduli spaces of K3 surfaces, complex hyperbolic geometry, ball quotients, GKZ hypergeometric structures, Hilbert and Picard modular surfaces, uniformizations of complex orbifolds, algebraicity of values of Schwartz triangle functions, and Thakur's hypergeometric function. The book provides a background, gives detailed expositions and indicates new research directions. It is directed to postgraduate students and researchers.
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Algebra, Congresses.
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Geometry, Algebraic, Congresses.
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Number theory, Congresses.
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Algebra.
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Geometry, Algebraic.
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MATHEMATICS-- Infinity.
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Number theory.
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| Dewey Classification
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515/.2432
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| LC Classification
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QA245.S86 2005eb
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| Added Entry
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Holzapfel, Rolf-Peter,1942-
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Uludağ, A. Muhammed.
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Yoshida, Masaaki,1948-
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