Hypergeometric functions, my love : modular interpretations of configuration spaces
著者
書誌事項
Hypergeometric functions, my love : modular interpretations of configuration spaces
（Aspects of mathematics = Aspekte der Mathematik, v. E32）
Vieweg, [2013]
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注記
Bibliography: p. 277-283
Includes index
"Ursprünglich erschienen bei Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden, 1997"--T.p. verso
内容説明・目次
内容説明
The classical story - of the hypergeometric functions, the configuration space of 4 points on the projective line, elliptic curves, elliptic modular functions and the theta functions - now evolves, in this book, to the story of hypergeometric funktions in 4 variables, the configuration space of 6 points in the projective plane, K3 surfaces, theta functions in 4 variables.
This modern theory has been established by the author and his collaborators in the 1990's; further development to different aspects is expected.
It leads the reader to a fascinating 4-dimensional world.
The author tells the story casually and visually in a plain language, starting form elementary level such as equivalence relations, the exponential function, ... Undergraduate students should be able to enjoy the text.
目次
- Part 1: The Story of the Configuration Space X (2,4) of Four Points on the Projective Line: Configuration Spaces - The Simplest Case
- Elliptic Curves
- Modular Interpretations of X (2,4)
- Hypergeometric Integrals and Loaded Cycles. Part 2: The Story of the Configuration Space X (2,n) of n Points on the Projective Line: The Configuration Space X (2,5)
- Modular Interpretation of the Configuration Space X (2,n)
- The Configuration Space X (3,6)
- Hypergeometric Functions of Type (3,6)
- Modular Interpretation of the Configuration Space X (3,6)
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