椭圆曲线模格式上的积分点

IF 1.1 Q1 MATHEMATICS

Transactions of the London Mathematical Society Pub Date : 2014-01-01 DOI:10.1112/tlms/tlu003

Rafael von Känel

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引用次数: 0

摘要

将Faltings (Arakelov, Paršin, Szpiro)方法与Shimura-Taniyama猜想相结合，证明了椭圆曲线模格式上积分点的有效有限性结果。对于一些基本的丢芬图问题，例如S - unit和Mordell方程，这给出了一种不依赖丢芬图近似或超越技术的有效方法。

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Integral points on moduli schemes of elliptic curves

We combine the method of Faltings (Arakelov, Paršin, Szpiro) with the Shimura–Taniyama conjecture to prove effective finiteness results for integral points on moduli schemes of elliptic curves. For several fundamental Diophantine problems, such as for example S ‐unit and Mordell equations, this gives an effective method which does not rely on Diophantine approximation or transcendence techniques.

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来源期刊

Transactions of the London Mathematical Society MATHEMATICS-

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

41 weeks