03080nam 2200601 a 450 991048297180332120200520144314.03-642-15945-110.1007/978-3-642-15945-9(CKB)2550000000020041(SSID)ssj0000449040(PQKBManifestationID)11300455(PQKBTitleCode)TC0000449040(PQKBWorkID)10393222(PQKB)10835193(DE-He213)978-3-642-15945-9(MiAaPQ)EBC3066043(PPN)149034393(EXLCZ)99255000000002004120101005d2011 uy 0engurnn|008mamaatxtccrArithmetic geometry lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007 /Jean-Louis Colliot-Thelene, Peter Swinnerton-Dyer, Paul Vojta ; editors, Pietro Corvaja, Carlo Gasbarri1st ed. 2010.Berlin ;New York Springer20111 online resource (XI, 232 p.) Lecture notes in mathematics,0075-8434 ;2009Bibliographic Level Mode of Issuance: Monograph3-642-15944-3 Includes bibliographical references and index.Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences -- Topics in Diophantine Equations -- Diophantine Approximation and Nevanlinna Theory.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.Lecture notes in mathematics (Springer-Verlag) ;2009.Arithmetical algebraic geometryArithmetical algebraic geometry.516.3511G3511G2511D4514G0514G1014G4014M22mscColliot-Thelene J.-L(Jean-Louis)350594Swinnerton-Dyer H. P. F510301Vojta Paul59323Corvaja Pietro755942Gasbarri Carlo243469C.I.M.E. Summer School(2007 :Cetraro, Italy)MiAaPQMiAaPQMiAaPQBOOK9910482971803321Arithmetic geometry4198547UNINA