The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics Vol. 106)

Silverman, Joseph H.

ISBN 10: 3540962034 / ISBN 13: 9783540962038

Editore: Springer Verlag, 2000

Riguardo questo articolo

Like New. Codice articolo ERICA75835409620345

Dati bibliografici

Titolo: The Arithmetic of Elliptic Curves (Graduate ...

Casa editrice: Springer Verlag

Data di pubblicazione: 2000

Legatura: Hardcover

Condizione: Like New

Tipologia articolo: book

Descrizione articolo

Riassunto:

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebraic-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, elliptic curves over finite fields, the complex numbers, local fields and global fields. The last two chapters deal with integral and rational points, including Siegels Theorem and explicit computations for the curve Y2=X3+DX.