Masaaki Yoshida

Hypergeometric Functions, My Love (eBook, PDF)

Modular Interpretations of Configuration Spaces

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Vieweg+Teubner Verlag
• Seitenzahl: 292
• Erscheinungstermin: 29. Juni 2013
• Englisch
• ISBN-13: 9783322901668
• Artikelnr.: 53152353

Autorenporträt

Masaaki Yoshida ist Professor für Mathematik an der Kyushu Universität, Japan.

Inhaltsangabe

1 The Story of the Configuration Space X(2,4) of Four Points on the Projective Line.- I. Configuration Spaces - The Simplest Case.- II. Elliptic Curves.- III. Modular Interpretations of X(2,4).- IV. Hypergeometric Integrals and Loaded Cycles.- 2 The Story of the Configuration Space X(2,n) of n Points on the Projective Line.- V. The Configuration Space X(2,5).- VI. Modular Interpretation of the Configuration Space X(2,n).- 3 The Story of the Configuration Space X(3,6) of Six Lines on the Projective Plane.- VII The Configuration Space X(3,6).- VIII. Hypergeometric Functions of Type (3,6).- IX. Modular Interpretation of the Configuration Space X(3,6).