02904nam 2200649 450 99646665460331620220211070849.03-540-48160-510.1007/BFb0093451(CKB)1000000000437296(SSID)ssj0000321395(PQKBManifestationID)12083773(PQKBTitleCode)TC0000321395(PQKBWorkID)10263959(PQKB)10414468(DE-He213)978-3-540-48160-7(MiAaPQ)EBC5610685(Au-PeEL)EBL5610685(OCoLC)1078998044(MiAaPQ)EBC6866794(Au-PeEL)EBL6866794(PPN)155172743(EXLCZ)99100000000043729620220211d1999 uy 0engurnn#008mamaatxtccrArithmetic theory of elliptic curves lectures given at the 3rd session of the Centro internazionale matematico estivo (C.I.M.E.), held in Cetraro, Italy, July 12-19, 1997 /John H. Coates [and three others] ; edited by Carlo Viola1st ed. 1999.Berlin, Heidelberg :Springer-Verlag,[1999]©19991 online resource (VIII, 264 p.)Lecture Notes in Mathematics ;1716Bibliographic Level Mode of Issuance: Monograph3-540-66546-3 Fragments 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.This 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.Lecture notes in mathematics (Springer-Verlag) ;1716.MathematicsNumber theoryGeometry, AlgebraicMathematics.Number theory.Geometry, Algebraic.510Coates John H.478921Viola CarloCentro internazionale matematico estivo.MiAaPQMiAaPQMiAaPQBOOK996466654603316Arithmetic theory of elliptic curves262393UNISA