Hypergeometric Functions, My Love

Die klassische Geschichte der hypergeometrischen Funktionen, dem Raum der Konfigurationen von 4 Punkten auf der projektiven Geraden, elliptischen Kurven, Modulfunktionen und Theta Funktionen, wird in diesem Buch zur Geschichte der hypergeometrischen Funktionen in 4 Variablen, dem Raum der Konfigurationen von 6 Punkten in der projektiven Ebene, K3 Flächen, Theta Funktionen in 4 Variablen weiterentwickelt.
Der Autor erzählt die Geschichte in einem lebendigen Stil, beginnend von einem elementaren Niveau, so daß Studenten angesprochen werden.

Die Geschichte der Hypergeometrischen Funktionen

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

Klappentext

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.

Inhalt
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).