Problems in Chapter 1 of GTM 106

These are problems, solutions will coming soon. chapter1_problems

What is GTM 106?

Đó là cuốn sách ”SỐ HỌC CỦA ĐƯỜNG CONG ELLIPTIC” của Silverman. Mình lập ra mục này để trao đổi khi đọc cuốn đó.

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.

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