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

• Main Authors: Colliot-Thélène, Jean-Louis (Author), Swinnerton-Dyer, Peter (Author), Vojta, Paul (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Corvaja, Pietro (Editor), Gasbarri, Carlo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
• Series: Lecture Notes in Mathematics, 2009
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Number theory.; Number Theory.; Algebraic Geometry.

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...

Table of Contents:

• Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences
• Topics in Diophantine Equations
• Diophantine Approximation and Nevanlinna Theory.