libcats.org
Главная

Arithmetic of elliptic curves

Обложка книги Arithmetic of elliptic curves

Arithmetic of elliptic curves

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 algebro-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 Siegel's theorem and explicit computations for the curve Y^2 = X^3 + DX.

The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics.

Популярные книги за неделю:

50 рецептов для аэрогриля

Автор:
Категория: house, house, cook
Размер книги: 771 Kb

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Contemporary Theatre, Film and Television, Volume 97

Автор:
Размер книги: 3.18 Mb
Только что пользователи скачали эти книги:

Frumoasa din Louisiana

Автор:
Размер книги: 49.93 Mb

Naive Set Theory (Undergraduate Texts in Mathematics)

Автор:
Размер книги: 1.55 Mb

The Marx Sisters: A Kathy Kolla and David Brock Mystery

Автор:
Категория: fiction
Размер книги: 1.29 Mb

Bestien aus dem Schattenreich

Автор: , Автор:
Категория: fiction
Размер книги: 484 Kb