Joseph H Silverman. creator Joseph H Silverman. text Mathematics-Arithmetic.-Algebra-Courbes elliptiques. xxu New York : Springer-Verlag , ©1986 monographic eng

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xx, 513p. : illustrations ; 25 cm. This textbook treats the arithmetic theory of elliptic curves in its modern formulation, utilizing basic algebraic number theory and algebraic geometry. Following a discussion of the basic algebraic-geometric results, it covers such topics as complex numbers, local fields and global fields. Algebraic Varieties.- Algebraic Curves.- The Geometry of Elliptic Curves.- The Formal Group of Elliptic Curves.- Elliptic Curves over Finite Fields.- Elliptic Curves over C.- Elliptic Curves over Local Fields.- Elliptic Curves over Global Fields.- Integral Points on Elliptic Curves.-Computing the Mordell Weil Group.- Appendix A: Elliptic Curves in Characteristics.-Appendix B: Group Cohomology (H0 and H1). / Joseph H Silverman. 516.35 SIL 9781441918581 International Book Distributors Flat No.-17 , Prakash Apartment , 5 Ansari Road, Daryaganj , New Delhi. 180404 20181112155620.0