Arithmetic Geometry

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007
1. Auflage 2010
ISBN: 978-3-642-15944-2
Verlag: Springer

Buch, Englisch, Band 2009, 232 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 790 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Colliot-Thélène, Jean-Louis

Swinnerton-Dyer, Peter

Vojta, Paul

Corvaja, Pietro

Gasbarri, Carlo

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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