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Arithmetic Geometry
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Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007
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Artikel-Nr:
9783642159442
Veröffentl:
2010
Seiten:
232
Autor:
Pietro Corvaja
Gewicht:
408 g
Format:
238x156x14 mm
Serie:
2009, C.I.M.E. Foundation Subseries, Lecture Notes in Mathematics
Sprache:
Englisch
Beschreibung:
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.
Includes supplementary material: sn.pub/extras
Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences.- Topics in Diophantine Equations.- Diophantine Approximation and Nevanlinna Theory.