F> 0 for all irreducible curves F C S.As mentioned above, the reader may at this point wish to proceeddirectly to thenext section,where we will apply the Height Machine tostudy the specialization map on elliptic surfaces.The remainder of thissection is devoted to proving Theorems 10.1-10...
This is an introduction to a probabilistic model for the arithmetic of elliptic curves, a model developed in a series of articles of the author with Bhargava, Kane, Lenstra, Park, Rains, Voight, and Wood. We discuss the theoretical evidence for the model, and we make predictions about ...
The Arithmetic of Elliptic Curves - Armstrong State University 热度: Lectures on the Differential Geometry of Curves and Surfaces.pdf 热度: a r X i v : m a t h / 0 3 0 2 1 5 8 v 1 [ m a t h . N T ] 1 3 F e
定价:USD 64.95 装帧:Hardcover 丛书:Graduate Texts in Mathematics ISBN:9780387962030 豆瓣评分 9.8 20人评价 5星 85.0% 4星 10.0% 3星 5.0% 2星 0.0% 1星 0.0% 评价: 写笔记 写书评 加入购书单 分享到 推荐 内容简介· ··· The theory of elliptic curves is distinguished by its long history...
Robert, A.: Elliptic curves. Lecture Notes in Mathematics326, Berlin-Heidelberg-New York: Springer 1973 Google Scholar Author information Authors and Affiliations Department of Mathematics, Harvard University, 1 Oxford Street, 02138, Cambridge, MA, USA ...
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...
In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is ric... JH Silverman 被引量: 1487发表: 1994年 The Arithmetic of Elliptic Curves. The theory of elliptic curves is distinguished by its long...
《Advanced Topics in the Arithmetic of Elliptic Curves》作者:Springer,出版社:1999年9月,ISBN:。Thisbookcontinuesthetreatmentofthearithmetictheory
椭圆曲线Y2+xy=护+1给出一种直接计算2七P,1≤k≤m 的快速算法.本文针对该算法进行了分析,提出一些不足,并予以完善.进而基于倍点的算法,提出了递推计算kP的算法,并证明了它比逐点法效率提高38%以上.2预备知识GF( q"n) 上的椭圆曲线是由韦尔斯特拉斯方程Y2+al xy+a3。=z3+a2x2+a4x+a6其中ala2 ...
A Survey of the Arithmetic Theory of Elliptic Curves 来自 Springer 喜欢 0 阅读量: 22 作者: JH Silverman 摘要: An elliptic curve is a pair (E, O), where E is a smooth projective curve of genus one and O is a point of E. The elliptic curve is said to be defined over the ...