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Arithmetic and Geometry Around Hypergeometric Functions

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Cover of 'Arithmetic and Geometry Around Hypergeometric Functions'

Table of Contents

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    Book Overview
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    Chapter 1 Hyperbolic Geometry and the Moduli Space of Real Binary Sextics
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    Chapter 2 Gauss’ Hypergeometric Function
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    Chapter 3 Moduli of K3 Surfaces and Complex Ball Quotients
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    Chapter 4 Macbeaths infinite series of Hurwitz groups
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    Chapter 5 Relative Proportionality on Picard and Hilbert Modular Surfaces
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    Chapter 6 Hypergeometric Functions and Carlitz Differential Equations over Function Fields
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    Chapter 7 The Moduli Space of 5 Points on ℙ 1 and K3 Surfaces
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    Chapter 8 Uniformization by Lauricella Functions — An Overview of the Theory of Deligne-Mostow
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    Chapter 9 Invariant Functions with Respect to the Whitehead-Link
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    Chapter 10 On the Construction of Class Fields by Picard Modular Forms
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    Chapter 11 Algebraic Values of Schwarz Triangle Functions
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    Chapter 12 GKZ Hypergeometric Structures
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    Chapter 13 Orbifolds and Their Uniformization
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    Chapter 14 From the Power Function to the Hypergeometric Function
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    Chapter 15 Problem Session
Attention for Chapter 5: Relative Proportionality on Picard and Hilbert Modular Surfaces
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