Progress in Mathematics

Arithmetic and Geometry Around Hypergeometric Functions

Lecture Notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005

Editors: Holzapfel, Rolf-Peter, Uludag, Muhammed, Yoshida, M. (Eds.)

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About this book

This volume comprises the Lecture Notes of the CIMPA Summer School "Arithmetic and Geometry around Hypergeometric Functions" held at Galatasaray University, Istanbul in 2005. It contains lecture notes, a survey article, research articles, and the results of a problem session. Key topics are moduli spaces of points on P1 and Picard-Terada-Deligne-Mostow theory, moduli spaces of K3 surfaces, complex hyperbolic geometry, ball quotients, GKZ hypergeometric structures, Hilbert and Picard modular surfaces, uniformizations of complex orbifolds, algebraicity of values of Schwartz triangle functions, and Thakur's hypergeometric function. The book provides a background, gives detailed expositions and indicates new research directions. It is directed to postgraduate students and researchers.

Table of contents (4 chapters)

  • Gauss’ Hypergeometric Function

    Frits Beukers

    Pages 23-42

  • Uniformization by Lauricella Functions — An Overview of the Theory of Deligne-Mostow

    Eduard Looijenga

    Pages 207-244

  • Orbifolds and Their Uniformization

    A. Muhammed Uludağ

    Pages 373-406

  • From the Power Function to the Hypergeometric Function

    Masaaki Yoshida

    Pages 407-429

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-7643-8284-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-7643-8283-4
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
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Bibliographic Information

Bibliographic Information
Book Title
Arithmetic and Geometry Around Hypergeometric Functions
Book Subtitle
Lecture Notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005
Editors
  • Rolf-Peter Holzapfel
  • Muhammed Uludag
  • M. Yoshida
Series Title
Progress in Mathematics
Series Volume
260
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8284-1
DOI
10.1007/978-3-7643-8284-1
Hardcover ISBN
978-3-7643-8283-4
Series ISSN
0743-1643
Edition Number
1
Number of Pages
VIII, 437
Topics