Arithmetic and geometry around hypergeometric functions : lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005
著者
書誌事項
Arithmetic and geometry around hypergeometric functions : lecture notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005
（Progress in mathematics, v. 260）
Birkhäuser, c2007
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注記
Includes bibliographical references
内容説明・目次
内容説明
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, June 13-25, 2005. It covers a wide range of topics related to hypergeometric functions, thus giving a broad perspective of the state of the art in the field.
目次
Hyperbolic Geometry and the Moduli Space of Real Binary Sextics.- Gauss' Hypergeometric Function.- Moduli of K3 Surfaces and Complex Ball Quotients.- Macbeaths infinite series of Hurwitz groups.- Relative Proportionality on Picard and Hilbert Modular Surfaces.- Hypergeometric Functions and Carlitz Differential Equations over Function Fields.- The Moduli Space of 5 Points on ?1 and K3 Surfaces.- Uniformization by Lauricella Functions - An Overview of the Theory of Deligne-Mostow.- Invariant Functions with Respect to the Whitehead-Link.- On the Construction of Class Fields by Picard Modular Forms.- Algebraic Values of Schwarz Triangle Functions.- GKZ Hypergeometric Structures.- Orbifolds and Their Uniformization.- From the Power Function to the Hypergeometric Function.- Problem Session.
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