03001nam 22006615 450 991014631210332120250730104820.03-540-48160-510.1007/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)99100000000043729620121227d1999 u| 0engurnn#008mamaatxtccrArithmetic Theory of Elliptic Curves Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, July 12-19, 1997 /by J. Coates, R. Greenberg, K.A. Ribet, K. Rubin ; edited by C. Viola1st ed. 1999.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1999.1 online resource (VIII, 264 p.)C.I.M.E. Foundation Subseries,2946-1820 ;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.C.I.M.E. Foundation Subseries,2946-1820 ;1716Number theoryGeometry, AlgebraicNumber TheoryAlgebraic GeometryNumber theory.Geometry, Algebraic.Number Theory.Algebraic Geometry.510Coates John H.478921Viola CarloCentro internazionale matematico estivo.MiAaPQMiAaPQMiAaPQBOOK9910146312103321Arithmetic theory of elliptic curves262393UNINA