发表于2024-11-25
The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) 2024 pdf epub mobi 电子书
图书标签: 椭圆曲线 数学 GTM 数论 elliptic_curve 解析数论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.
椭圆曲线的基础整体定理Mordell–Weil 定理。域上簇C/K决定 K(C)
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评分椭圆曲线的基础整体定理Mordell–Weil 定理。域上簇C/K决定 K(C)
评分椭圆曲线的基础整体定理Mordell–Weil 定理。域上簇C/K决定 K(C)
The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) 2024 pdf epub mobi 电子书