© 2007

Arithmetic and Geometry Around Hypergeometric Functions

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

  • Rolf-Peter Holzapfel
  • A. Muhammed Uludağ
  • Masaaki Yoshida
  • Presents reviewed and polished lecture notes, survey articles and original research results written by acknowledged experts in the field

  • Contains a stimulating collection of open problems


Part of the Progress in Mathematics book series (PM, volume 260)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Daniel Allcock, James A. Carlson, Domingo Toledo
    Pages 1-22
  3. Frits Beukers
    Pages 23-42
  4. Igor V. Dolgachev, Shigeyuki Kondō
    Pages 43-100
  5. Amir Džambić
    Pages 101-108
  6. Hironori Shiga, Jürgen Wolfart
    Pages 287-312
  7. Jan Stienstra
    Pages 313-371
  8. A. Muhammed Uludağ
    Pages 373-406
  9. Celal Cem Sarıoğlu
    Pages 431-437

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.


Hypergeometric function K3 surface Modular form differential equation hyperbolic geometry moduli space

Editors and affiliations

  • Rolf-Peter Holzapfel
    • 1
  • A. Muhammed Uludağ
    • 2
  • Masaaki Yoshida
    • 3
  1. 1.Institut für MathematikHumboldt-Universität zu BerlinBerlin
  2. 2.Department of MathematicsGalatasaray UniversityBesiktas, IstanbulTurkey
  3. 3.Department of MathematicsKyushu UniversityFukuokaJapan

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 Abbreviated Title Progress in Mathematics(Birkhäuser)
  • DOI
  • Copyright Information Birkhäuser Verlag AG 2007
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-7643-8283-4
  • eBook ISBN 978-3-7643-8284-1
  • Series ISSN 0743-1643
  • Series E-ISSN 2296-505X
  • Edition Number 1
  • Number of Pages VIII, 437
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Special Functions
    Algebraic Geometry
  • Buy this book on publisher's site