ENGLISH-FRENCH

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

By Paul Vojta (auth.) , Jean-Louis Colliot-Thélène , Peter Swinnerton-Dyer , Pietro Corvaja , Carlo Gasbarri (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2010
ISBN
3642159443, 9783642159442
DOI
10.1007/978-3-642-15945-9
Language
english-french
Format
PDF
Filesize
2 MB (1843827 bytes)
Series
Lecture Notes in Mathematics 2009
Edition
1
Pages
232\250
Time added
2011-06-04 13:46:07
Number Theory; Algebraic Geometry; Algebra

Description

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.

Similar books