LEADER 03001nam 22006615 450 001 9910146312103321 005 20250730104820.0 010 $a3-540-48160-5 024 7 $a10.1007/BFb0093451 035 $a(CKB)1000000000437296 035 $a(SSID)ssj0000321395 035 $a(PQKBManifestationID)12083773 035 $a(PQKBTitleCode)TC0000321395 035 $a(PQKBWorkID)10263959 035 $a(PQKB)10414468 035 $a(DE-He213)978-3-540-48160-7 035 $a(MiAaPQ)EBC5610685 035 $a(Au-PeEL)EBL5610685 035 $a(OCoLC)1078998044 035 $a(MiAaPQ)EBC6866794 035 $a(Au-PeEL)EBL6866794 035 $a(PPN)155172743 035 $a(EXLCZ)991000000000437296 100 $a20121227d1999 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aArithmetic Theory of Elliptic Curves $eLectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, July 12-19, 1997 /$fby J. Coates, R. Greenberg, K.A. Ribet, K. Rubin ; edited by C. Viola 205 $a1st ed. 1999. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1999. 215 $a1 online resource (VIII, 264 p.) 225 1 $aC.I.M.E. Foundation Subseries,$x2946-1820 ;$v1716 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-66546-3 327 $aFragments of the GL2 Iwasawa theory of elliptic curves without complex multiplication -- Iwasawa theory for elliptic curves -- Torsion points on J 0(N) and Galois representations -- Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. 330 $aThis volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians. 410 0$aC.I.M.E. Foundation Subseries,$x2946-1820 ;$v1716 606 $aNumber theory 606 $aGeometry, Algebraic 606 $aNumber Theory 606 $aAlgebraic Geometry 615 0$aNumber theory. 615 0$aGeometry, Algebraic. 615 14$aNumber Theory. 615 24$aAlgebraic Geometry. 676 $a510 700 $aCoates$b John H.$0478921 702 $aViola$b Carlo 712 02$aCentro internazionale matematico estivo. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146312103321 996 $aArithmetic theory of elliptic curves$9262393 997 $aUNINA