| Arithmetic Geometry: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 10-15, 2007 2010 Edition Contributor(s): Colliot-Thélène, Jean-Louis (Author), Corvaja, Pietro (Editor), Swinnerton-Dyer, Peter (Author) |
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ISBN: 3642159443 ISBN-13: 9783642159442 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Language: French Published: November 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Algebra - General - Mathematics | Geometry - Algebraic |
| Dewey: 512 |
| Physical Information: 0.53" H x 6.14" W x 9.21" (0.79 lbs) 232 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties through arbitrary rings, in particular through 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-Thelene, Peter Swinnerton Dyer and Paul Vojta. |