Arithmetic geometry : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007 /

Arithmetic geometry : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007 / Jean-Louis Colliot-Thélène, Peter Swinnerton-Dyer, Paul Vojta ; editors, Pietro Corvaja, Carlo Gasbarri. - Heidelberg ; New York : Springer, ©2011. - 1 online resource (xi, 232 pages) : illustrations - Lecture notes in mathematics, 2009 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 2009. .

Includes bibliographical references and index.

Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences / Topics in Diophantine Equations / Diophantine Approximation and Nevanlinna Theory / Jean-Louis Colliot-Thélène -- Peter Swinnerton-Dyer -- Paul Vojta.

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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-Th?♭l?·ne Peter Swinnerton Dyer and Paul Vojta.


Text in English and French.

9783642159459 3642159451

978-3-642-15944-2 Springer http://www.springerlink.com

2010938613


Arithmetical algebraic geometry--Congresses.
Diophantine equations--Congresses.
Nevanlinna theory--Congresses.
Value distribution theory--Congresses.
Géométrie algébrique arithmétique--Congrès.
Équations diophantiennes--Congrès.
Théorie de Nevanlinna--Congrès.
Théorie de la distribution des valeurs--Congrès.
Geometría algebraica aritmética
Distribución de valores, Teoría de
Arithmetical algebraic geometry
Diophantine equations
Nevanlinna theory
Value distribution theory


Congress
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.

QA242.5 / .C56 2011

516.3/5

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