03806nam 22006975 450 99646652160331620200704184059.03-642-15945-110.1007/978-3-642-15945-9(CKB)2550000000020041(SSID)ssj0000449040(PQKBManifestationID)11300455(PQKBTitleCode)TC0000449040(PQKBWorkID)10393222(PQKB)10835193(DE-He213)978-3-642-15945-9(MiAaPQ)EBC3066043(PPN)149034393(EXLCZ)99255000000002004120101029d2010 u| 0engurnn|008mamaatxtccrArithmetic Geometry[electronic resource] Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007 /by Jean-Louis Colliot-Thélène, Peter Swinnerton-Dyer, Paul Vojta ; edited by Pietro Corvaja, Carlo Gasbarri1st ed. 2010.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2010.1 online resource (XI, 232 p.) C.I.M.E. Foundation Subseries ;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.C.I.M.E. Foundation Subseries ;2009Number theoryAlgebraic geometryAlgebraNumber Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Algebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11000Conference papers and proceedings.fastNumber theory.Algebraic geometry.Algebra.Number Theory.Algebraic Geometry.Algebra.516.3511G3511G2511D4514G0514G1014G4014M22mscColliot-Thélène Jean-Louisauthttp://id.loc.gov/vocabulary/relators/aut350594Swinnerton-Dyer Peterauthttp://id.loc.gov/vocabulary/relators/autVojta Paulauthttp://id.loc.gov/vocabulary/relators/autCorvaja Pietroedthttp://id.loc.gov/vocabulary/relators/edtGasbarri Carloedthttp://id.loc.gov/vocabulary/relators/edtC.I.M.E. Summer School(2007 :Cetraro, Italy)BOOK996466521603316Arithmetic Geometry2831933UNISA