The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) pdf epub mobi txt 電子書 下載2025
- 橢圓麯綫
- 數學
- GTM
- 數論
- elliptic_curve
- 解析數論7
- Mathematics
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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基礎部分，第二冊介紹瞭CM麯綫 Tate 麯綫, Neron 模型
评分學習橢圓麯綫的絕佳教材
评分橢圓麯綫的基礎整體定理Mordell–Weil 定理。域上簇C/K決定 K(C)
评分基礎部分，第二冊介紹瞭CM麯綫 Tate 麯綫, Neron 模型
评分基礎部分，第二冊介紹瞭CM麯綫 Tate 麯綫, Neron 模型
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