Estimating isogenies on elliptic curves

Estimating isogenies on elliptic curves
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估计椭圆曲线上的同基因

DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
G. Wüstholz
G. Wüstholz
中科院分区：
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文献类型：
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作者：
D. Masser;G. Wüstholz

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本文的目的是证明椭圆曲线间等同源性的一种新的估计。这在另一篇论文[MW3]中有几个丢芬图的应用（例如Serre的伽罗瓦不可约定理和Shafarevich定理的有效版本）。以后的文章将讨论任意维的阿贝尔变分的相应问题。在开始的时候，我们强调我们用魏尔斯特拉斯方程来识别椭圆曲线E
The object of this paper is to prove a new type of estimate for isogenies between elliptic curves. This has several diophantine applications (effective versions of Serre's Galois irreducibility theorem and Shafarevich's theorem, for example) which are presented in another paper [MW3]. Later articles will deal with the corresponding problems for abelian varieties of arbitrary dimension. Right at the beginning we emphasize that we are identifying elliptic curves E with Weierstrass equations