LEADER 03135nam 2200625 a 450 001 9910482971803321 005 20200520144314.0 010 $a9783642159459 010 $a3642159451 024 7 $a10.1007/978-3-642-15945-9 035 $a(CKB)2550000000020041 035 $a(SSID)ssj0000449040 035 $a(PQKBManifestationID)11300455 035 $a(PQKBTitleCode)TC0000449040 035 $a(PQKBWorkID)10393222 035 $a(PQKB)10835193 035 $a(DE-He213)978-3-642-15945-9 035 $a(MiAaPQ)EBC3066043 035 $a(PPN)149034393 035 $a(EXLCZ)992550000000020041 100 $a20101005d2011 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aArithmetic geometry $electures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007 /$fJean-Louis Colliot-Thelene, Peter Swinnerton-Dyer, Paul Vojta ; editors, Pietro Corvaja, Carlo Gasbarri 205 $a1st ed. 2010. 210 $aBerlin ;$aNew York $cSpringer$d2011 215 $a1 online resource (XI, 232 p.) 225 1 $aLecture notes in mathematics,$x0075-8434 ;$v2009 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783642159442 311 08$a3642159443 320 $aIncludes bibliographical references and index. 327 $aVariétés presque rationnelles, leurs points rationnels et leurs dégénérescences -- Topics in Diophantine Equations -- Diophantine Approximation and Nevanlinna Theory. 330 $aArithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties over arbitrary rings, in particular over non-algebraically closed fields. It lies at the intersection between classical algebraic geometry and number theory. A C.I.M.E. Summer School devoted to arithmetic geometry was held in Cetraro, Italy in September 2007, and presented some of the most interesting new developments in arithmetic geometry. This book collects the lecture notes which were written up by the speakers. The main topics concern diophantine equations, local-global principles, diophantine approximation and its relations to Nevanlinna theory, and rationally connected varieties. The book is divided into three parts, corresponding to the courses given by J-L Colliot-Thélène Peter Swinnerton Dyer and Paul Vojta. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v2009. 606 $aArithmetical algebraic geometry 615 0$aArithmetical algebraic geometry. 676 $a516.35 686 $a11G35$a11G25$a11D45$a14G05$a14G10$a14G40$a14M22$2msc 700 $aColliot-Thelene$b J.-L$g(Jean-Louis)$0350594 701 $aSwinnerton-Dyer$b H. P. F$0510301 701 $aVojta$b Paul$059323 701 $aCorvaja$b Pietro$0755942 701 $aGasbarri$b Carlo$0243469 712 12$aC.I.M.E. Summer School$f(2007 :$eCetraro, Italy) 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910482971803321 996 $aArithmetic geometry$94198547 997 $aUNINA