Arithmetic geometry : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007 / Jean-Louis Colliot-Thélène, Peter Swinnerton-Dyer, Paul Vojta ; editors, Pietro Corvaja, Carlo Gasbarri.

By:

C.I.M.E. Summer School (2007 : Cetraro, Italy)

Contributor(s):

Material type: Text

TextLanguage: English, French Language: English, fra Series: Lecture notes in mathematics (Springer-Verlag) ; 2009.Publication details: Heidelberg ; New York : Springer, ©2011.Description: 1 online resource (xi, 232 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783642159459
3642159451

Subject(s): Genre/Form:

Additional physical formats: Print version:: Arithmetic geometry.DDC classification:

516.3/5 22

LOC classification:

QA242.5 .C56 2011

Online resources:

Click here to access online

Contents:

Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences / Jean-Louis Colliot-Thélène -- Topics in Diophantine Equations / Peter Swinnerton-Dyer -- Diophantine Approximation and Nevanlinna Theory / Paul Vojta.

Summary: 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-Th?♭l?·ne Peter Swinnerton Dyer and Paul Vojta.

Holdings ( 1 )
Title notes ( 6 )

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Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
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Includes bibliographical references and index.

Text in English and French.

Print version record.

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-Th?♭l?·ne Peter Swinnerton Dyer and Paul Vojta.

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