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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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eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-7643-8284-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Hardcover $159.00
price for USA in USD
  • ISBN 978-3-7643-8283-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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 (15 chapters)

  • Hyperbolic Geometry and the Moduli Space of Real Binary Sextics

    Allcock, Daniel (et al.)

    Pages 1-22

  • Gauss’ Hypergeometric Function

    Beukers, Frits

    Pages 23-42

  • Moduli of K3 Surfaces and Complex Ball Quotients

    Dolgachev, Igor V. (et al.)

    Pages 43-100

  • Macbeaths infinite series of Hurwitz groups

    Džambić, Amir

    Pages 101-108

  • Relative Proportionality on Picard and Hilbert Modular Surfaces

    Holzapfel, Rolf-Peter

    Pages 109-162

Buy this book

eBook $119.00
price for USA in USD (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 in USD
  • ISBN 978-3-7643-8283-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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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