Hypergeometric Functions, My Love Modular Interpretations of Configu

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Masaaki Yoshida

Hypergeometric Functions, My Love Modular Interpretations of Configuration Spaces

Masaaki Yoshida

Hypergeometric Functions,

My Love

Mathematics Edited by Klas Diederich Vol. E 3:

G. Hector/U. Hirsch: Introduction to the Geometry of Foliations, Part B

Vol. E 5:

P. Stiller: Automorphic Forms and the Pi card Number of an Elliptic Surface

Vol. E 6:

G. Faltings/G. Wustholz et al.: Rational Points*

Vol. E 7:

W. Stoll: Value Distribution Theory for Meromorphic Maps

A. Howard/P.-M. Wong (Eds.): Contribution to Several Complex Variables Vol. E 10: A. J Tromba (Ed.): Seminar of New Results in Nonlinear Partial Differential Vol. E 9:

Equations* Vol. E 15: J-P. Serre: Lectures on the Mordel\-Weil Theorem Vol. E 16: K. Iwasaki/H. Kimura/S. Shimomura/M. Yoshida: From Gauss to Painleve Vol. E 17: K. Diederich (Ed.): Complex Analysis Vol. E 18: W. W. J. Hulsbergen: Conjectures in Arithmetic Algebraic Geometry Vol. E 19: R. Racke: Lectures on Nonlinear Evolution Equations Vol. E 20:

F. Hirzebruch/Th. Berger/R. Jung: Manifolds and Modular Forms*

Vol. E 21:

H. Fujimoto: Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm

Vol. E 22:

D.

Vol. E 23:

A. P. Fordy/J. C. Wood (Eds.): Harmonic Maps and Integrable Systems

Vol. E 24:

D. S. Alexander: A History of Complex Dynamics

V. Anosov/ A. A. BoIibruch: The Riemann-Hilbert Problem

Vol. E 25: A. Tikhomirov/A. Tyurin (Eds.): Algebraic Geometry and its Applications Vol. E 26:

H. Skoda/J.-M. Trepreau (Eds.): Contributions to Complex Analysis and Analytic Geometry

Vol. E 27:

D. N. Akhiezer: lie Group Actions in Complex Analysis

Vol. E 28:

R. Gerard/H. Tahara: Singular Nonlinear Partial Differential Equations

Vol. E 29:

R.-P. Holzapfel: Ball and Surface Arithmetics

Vol. E 30:

R. Huber: Etale Cohomology of Rigid Analytic Varieties and Adic Spaces

Vol. E 31:

D. Huybrechts/M. Lehn: The Geometry of Moduli Spaces of Sheaves*

Vol. E 32: M. Yoshida: Hypergeometric Functions, My Love *A

Publication of the Max-Planck-Institut fur Mathematik, Bonn

Masaaki Yoshida

Hypergeometric

Functions,

My Love

Modular Interpretations of Configuration Spaces

11 Vleweg

Professor Masaaki Yoshida Graduate School of Mathematics Kyushu University 33 Fukuoka 812 Japan

Mathematics Subject Classification: 11 F, 14 D, 14 J, 20 F, 32 G 34,33 C, 51 F 15,53 B

All rights reserved © Springer Fachmedien Wiesbaden 1997 Urspriinglich erschienen bei Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, BraunschweiglWiesbaden, 1997.

No part of this publication may be reproduced, stored in a retrieval system or transmitted, mechanical, photocopying or otherwise without prior permission of the copyright holder.

Cover design: Wolfgang Nieger, Wiesbaden Printed on acid-free paper ISBN 978-3-322-90168-2 ISBN 978-3-322-90166-8 (eBook) DOI 10.1007/978-3-322-90166-8

To my beloved cats late Shima (- 18 Oct. 1993), late Oshin (- 2 Jan. 1995), late Bat (- 3 Nov. 1995), late Tabi (- 30 Dec. 1995), Aka, Chisha, Heiter, Nezu, Warabi, Sabi, Chloe, Zoro, and my dog Fuku, who