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The Arithmetic of Elliptic Curves

Af: Joseph H. Silverman Engelsk Hardback

The Arithmetic of Elliptic Curves

Af: Joseph H. Silverman Engelsk Hardback
Tjek vores konkurrenters priser
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 approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.
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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 approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.
Produktdetaljer
Sprog: Engelsk
Sider: 513
ISBN-13: 9780387094939
Indbinding: Hardback
Udgave:
ISBN-10: 0387094938
Udg. Dato: 29 maj 2009
Længde: 36mm
Bredde: 164mm
Højde: 242mm
Forlag: Springer-Verlag New York Inc.
Oplagsdato: 29 maj 2009
Forfatter(e): Joseph H. Silverman
Forfatter(e) Joseph H. Silverman


Kategori Algebraisk geometri


ISBN-13 9780387094939


Sprog Engelsk


Indbinding Hardback


Sider 513


Udgave


Længde 36mm


Bredde 164mm


Højde 242mm


Udg. Dato 29 maj 2009


Oplagsdato 29 maj 2009


Forlag Springer-Verlag New York Inc.

Kategori sammenhænge