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
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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)
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Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences
Pages 1-44
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Topics in Diophantine Equations
Pages 45-110
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Diophantine Approximation and Nevanlinna Theory
Pages 111-224
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Table of contents (3 chapters)
- Download Preface 1 PDF (110.4 KB)
- Download Sample pages 1 PDF (674.7 KB)
- Download Table of contents PDF (91.1 KB)
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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
-
- Jean-Louis Colliot-Thélène
- Peter Swinnerton-Dyer
- Paul Vojta
- Editors
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- 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
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