C.I.M.E. Foundation Subseries

Arithmetic Geometry

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007

Authors: Colliot-Thélène, Jean-Louis, Swinnerton-Dyer, Peter, Vojta, Paul

Editors: Corvaja, Pietro, Gasbarri, Carlo (Eds.)

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About this book

Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties over arbitrary rings, in particular over non-algebraically closed fields. It lies at the intersection between classical algebraic geometry and number theory.
A C.I.M.E. Summer School devoted to arithmetic geometry was held in Cetraro, Italy in September 2007, and presented some of the most interesting new developments in arithmetic geometry.
This book collects the lecture notes which were written up by the speakers. The main topics concern diophantine equations, local-global principles, diophantine approximation and its relations to Nevanlinna theory, and rationally connected varieties.
The book is divided into three parts, corresponding to the courses given by J-L Colliot-Thélène Peter Swinnerton Dyer and Paul Vojta.

Table of contents (3 chapters)

Table of contents (3 chapters)
  • Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences

    Pages 1-44

    Colliot-Thélène, Jean-Louis

  • Topics in Diophantine Equations

    Pages 45-110

    Swinnerton-Dyer, Sir Peter

  • Diophantine Approximation and Nevanlinna Theory

    Pages 111-224

    Vojta, Paul

Buy this book

eBook n/a
  • ISBN 978-3-642-15945-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Softcover n/a
  • ISBN 978-3-642-15944-2
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Arithmetic Geometry
Book Subtitle
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007
Authors
Editors
  • Pietro Corvaja
  • Carlo Gasbarri
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2009
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-15945-9
DOI
10.1007/978-3-642-15945-9
Softcover ISBN
978-3-642-15944-2
Edition Number
1
Number of Pages
XI, 232
Topics