The arithmetic of elliptic curves.

Joseph H Silverman.

The arithmetic of elliptic curves. / Joseph H Silverman. - New York : Springer-Verlag , ©1986. - xx, 513p. : illustrations ; 25 cm. - Graduate texts in mathematics .

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).

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.

9781441918581

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Mathematics--Arithmetic.--Algebra--Courbes elliptiques.

516.35 SIL

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