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.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Upper undergraduate
Illustrationen
Maße
Höhe: 22.9 cm
Breite: 16.2 cm
Gewicht
ISBN-13
978-3-528-06925-4 (9783528069254)
DOI
10.1007/978-3-322-90166-8
Schweitzer Klassifikation
Masaaki Yoshida ist Professor für Mathematik an der Kyushu Universität, Japan.
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)
